... [2] A Kovalevsky and F Nicolosi, “On the sets of boundedness of solutions fora class of degenerate nonlinear elliptic fourth-order equations with L1 -data,” Fundamentalnaya I Prikladnaya Matematika, ... Skrypnik, Nonlinear Elliptic Equationsof Higher Order, Naukova Dumka, Kiev, Ukraine, 1973 [12] O A Ladyzhenskaya and N N Ural’tseva, Linear and Quasilinear Elliptic Equations, Academic Press, New ... [5] S Bonafede and S D’Asero, “H¨ lder continuity of solutions fora class of nonlinear elliptic vario ational inequalities of high order,” Nonlinear Analysis Theory, Methods & Applications, vol...
... Classification of solutions fora system of integral equations, Comm Partial Differential Equations 30 (2005), pp 59–65 1, 26 30 31 32 33 34 35 36 SYSTEM OF INTEGRAL EQUATIONS VIA THE METHOD OF ... system The basic idea of this new method that allows the method to go through depends heavily on some new special features possessed by integral equations Perhaps, the global form ofthe integral equations ... To make our analysis doable, we analyze some conformal invariances found in [Li04] for one equation and made some necessary changes for systems Forthe reader’s convenience and in order to make...
... further their work, rather than relationships which are intrinsically rewarding, and their spouses may well find their marital relations take second place.” THE IMPORTANCE OF SOLITUDE FORA BALANCED ... – both of which are essential for achieving spiritual THE IMPORTANCE OF SOLITUDE FORA BALANCED LIFE peace The Buddha attained enlightenment after long and intense meditation on the challenges ... have to just sit there and contemplate? No, not at all! There are many activities you can engage in while you're alone 12 THE IMPORTANCE OF SOLITUDE FORA BALANCED LIFE Here are some great activities...
... Messaoudi, SA, Tatar, N-E: Exponential and polynomial decay fora quasilinear viscoelastic problem Nonlinear Anal 68, 785–793 (2007) Messaoudi, SA: General decay of solutions ofa viscoelastic equation ... for b = and b = and fora wider class of relaxation functions He established a more general decay result, for which the usual exponential and polynomial decay results are just special cases For ... Guesmia, A: General decay of solutions ofa nonlinear system of viscoelastic wave equations Nonlinear Diff Equ Appl (2011) 24 Muñoz Rivera, JE: Global solution on a quasilinear wave equation with memory...
... singular coefficients J Math Anal Appl 312, 464–477 (2005) [22] Chang, KC: Variational methods for nondifferentiable functionals and their applications to partial differential equations J Math Anal Appl ... manuscript RM participated in the design ofthe study All authors read and approved the final manuscript Acknowledgement The authors are very grateful to the anonymous referees for their valuable suggestions ... be the p(x)-Laplacian, and becomes pLaplacian when p(x) ≡ p (a constant) The p(x)-Laplacian possesses more complicated nonlinearities than the p-Laplacian; for example, it is inhomogeneous The...
... existence of solutions forthe boundary value problems of fourth-order differential equations Because of applications in many areas for difference equations, in recent years, there has been an increased ... oscillatory properties of certain fourth order nonlinear difference equations, ” Journal of Mathematical Analysis and Applications, vol 322, no 2, pp 930–956, 2006 13 E Thandapani and I M Arockiasamy, ... , the above inequality means that there exists a lower bound of values of functional J Classical calculus shows that J attains its minimal value at min{J u | u ∈ Rk } Clearly, u is a critical...
... The initial value problem forthe Navier- Stokesequations with data in Lp ,” Archive for Rational Mechanics and Analysis, vol 45, no 3, pp 222–240, 1972 Y Giga, “Solutions for semilinear parabolic ... regularity ofthe pressure of weak solutions of Navier- Stokes equations, ” Archiv der Mathematik, vol 46, no 5, pp 428–439, 1986 L Iskauriaza, G A Ser¨ gin, and V Shverak, “L3,∞ -solutions of Navier- Stokes ... Navier- Stokesequations and e backward uniqueness,” Russian Mathematical Surveys, vol 58, no 2, pp 211–250, 2003 H Beir˜ o da Veiga, A new regularity class forthe Navier- Stokesequations in Rn...
... solutions for p x -Laplacian problems on a bounded domain,” Journal of Mathematical Analysis and Applications, vol 306, no 2, pp 604–618, 2005 17 X.-L Fan, Q Zhang, and D Zhao, “Eigenvalues of p x -Laplacian ... intimately connected with the first eigenvalue of an appropriate system Using a weak version ofthe Palais-Smale condition, that is, Cerami condition, they apply the mountain pass theorem to get the ... Journal of Mathematical Analysis and Applications, vol 312, no 2, pp 464–477, 2005 19 X.-L Fan and Q.-H Zhang, “Existence of solutions for p x -Laplacian Dirichlet problem,” Nonlinear Analysis: Theory,...
... Journal of Mathematical Analysis and Applications, vol 228, no 2, pp 483–494, 1998 [7] S L Chen, The extinction behavior ofthe solutions fora class of reaction-diffusion equations, ” Applied Mathematics ... “Periodic solutions of evolution m-laplacian equations with a nonlinear convection term,” International Journal of Mathematics and Mathematical Sciences, vol 2007, Article ID 27368, 10 pages, 2007 Wenjun ... Journal of Inequalities and Applications methods and an eigenfunction argument But as far as we know, few works are concerned with the decay estimates of solutions forthe porous medium equation The...
... A class of superlinear p-Laplacian equations [19] , An application ofa mountain pass theorem, Acta Mathematica Sinica 18 (2002), no 1, 27–36 [20] W Zou, Variant fountain theorems and their applications, ... Costa and O H Miyagaki, Nontrivial solutions for perturbations ofthe p-Laplacian on unbounded domains, Journal of Mathematical Analysis and Applications 193 (1995), no 3, 737– 755 [5] J V Goncalves ... O A Ladyzhenskaya and N N Ural’tseva, Linear and Quasilinear Elliptic Equations, Academic Press, New York, 1968 [8] G Li and H.-S Zhou, Asymptotically linear Dirichlet problem forthe p-Laplacian,...
... of thy face shalt thou eat bread”; and recognize the soundness ofthe apostle’s rule, “If a man will not work, neither let him eat!” The necessity of working fora living gives a man the proud ... life has come to nothing for lack of them And no idler can acquire them So, blessed be drudgery! Lastly, compulsory work is often necessary to bring out and train a man’s talents Many an author ... produces good habits – such as perseverance, application, punctuality, thoroughness, attention to details, and the habit of industry These virtues may be humdrum and commonplace; but many a promising...
... with the action ofa on the fiber Xx , and (2) the character ωx : a → k is the action ofa on the fiber at x ofthe canonical bundle ωX b) If, on the other hand, the action is simply transitive at ... can show that for any Noetherian scheme X, and an Azumaya algebra A over X of rank d2 , the forgetful functor from the category of A- modules to the category of coherent ∼ = 1 sheaves induces an ... 0) Proof One ofthe characterizations of Azumaya algebras is that they are coherent as O-modules and become matrix algebras on a flat cover [MI] The map T ∗,1 X→T ∗ X (1) is faithfully flat; i.e.,...
... sites Annual Equivalent Rate (AER) illustrates what the interest would be if interest was paid and compounded each year Our AER calculation assumes that the account is held fora year and that the ... annual equivalent rate is the same as the rates quoted above Monthly Income and Special Savings options, where available on the above accounts, offer the same rates The interest rates listed for ... Equivalent Rate (AER) illustrates what the interest would be if interest was paid and compounded each year Our AER calculation assumes that the account is held fora year and that the interest rate...
... Annals of Mathematics, 162 (2005), 1377–1389 Formation of singularities fora transport equation with nonlocal velocity ´ ´ By Antonio Cordoba∗ , Diego Cordoba∗∗ , and Marco A Fontelos∗∗ * Abstract ... * Abstract We study a 1D transport equation with nonlocal velocity and show the formation of singularities in finite time fora generic family of initial data By adding a diffusion term the finite ... compatible with the formation ofa curvature singularity in finite time Although there has been a very intense activity in order to provide a definitive proof ofthe formation of such a singularity...
... accumulation of fat mass remains to be determined Available epidemiological data addressing the implication of PAH, in general, as a causal factor in the pathogeny of metabolic disorders are currently ... to calculate body fat and lean mass This has been shown to detect a range of 5–30% body fat mass with a correlation of 0.98 to values obtained by chemical analysis [49] The machine was calibrated ... stopped after 14 days of treatment The body weight of animals housed in pairs was monitored on a daily basis at 09.00, i.e immediately after the dark cycle Results are shown as the average weight gain...
... Mean and Variance adjusted) which applies pair-wise missing data analysis using all individuals with observations for all possible pairs of variables in the data Individuals with partial data are ... standardized mortality ratio (mortality experience ofa local area relative to the national mortality) and the Jarman score [32] (a measure of area deprivation) to ensure a representative sample ... with partial data are therefore retained in the analyses and their information was used for all further analyses In our case, the pairs Kamaruzzaman et al Health and Quality of Life Outcomes 2010,...
... University of Aeronautics and Astronautics, Nanjing 210016, P R China ∗ Corresponding author: wang-fanglei@hotmail.com Email address: YA: anykna@nuaa.edu.cn Abstract This article is concerned with the ... continuous and f has subcritical growth, the above functional is of class C in H We shall apply the famous mountain pass theorem to show the existence ofa nontrivial critical point of functional I(u) ... ∂Ω, arises in the study of traveling waves in a suspension bridge, or the study ofthe static deflection of an elastic plate in a fluid, and has been studied by many authors, see [4–10] and the...
... Proof Forthe scenarios considered here, if the deadline ofthe message at the head of each trip can be met, the deadlines of all other messages can also be met Denote the delay ofthe message at ... at hours and the effect of size of disaster area is shown When the disaster area is very small, ρMax can be as large as 0.81; as the size of disaster area increases, the incurred travel cost also ... constant The pigeon has enough communication ability to know the arrivals of messages on the information collectors in the disaster area immediately Forthe facility of analysis, the disaster area is...
... solutions fora class of p x -Laplacian systems,” Journal of Mathematical Analysis and Applications, vol 333, no 2, pp 591–603, 2007 12 Q Zhang, “Existence of radial solutions for p x -Laplacian equations ... Journal of Mathematical Analysis and Applications, vol 315, no 2, pp 506–516, 2006 13 Q Zhang, “Boundary blow-up solutions to p x -Laplacian equations with exponential nonlinearities,” Journal of ... Notes in ˚z c Mathematics, Springer, Berlin, Germany, 2000 16 V V Zhikov, “Averaging of functionals ofthe calculus of variations and elasticity theory,” Mathematics ofthe USSR—Izvestija, vol 29,...