Results 91 to 100 of about 22,884,854 (275)

Critical Neumann problem for nonlinear elliptic systems in exterior domains

Electronic Journal of Differential Equations, 2008
In this paper, we investigate the Neumann problem for a critical elliptic system in exterior domains. Assuming that the coefficient $Q(x)$ is a positive smooth function and $lambda$, $mugeq0$ are parameters, we examine the common effect of the mean ...
Jianfu Yang, Shengbing Deng
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A note on the variational structure of an elliptic system involving critical Sobolev exponent

Journal of Applied Mathematics, 2003
We consider an elliptic system involving critical growth conditions. We develop a technique of variational methods for elliptic systems. Using the well-known results of maximum principle for systems developed by Fleckinger et al.
Mario Zuluaga
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Ground state solution of a noncooperative elliptic system [PDF]

, 2013
Cyril Joel Batkam
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On a Class of Reversible Elliptic Systems

Advanced Nonlinear Studies, 2012
Abstract For a semilinear elliptic system of PDE’s which is spatially reversible, we establish the existence of solutions in C2(ℝ2 × Tn−2, ℝm) that are heteroclinic in x2 between a pair of solutions in C2(ℝ × Tn−1, ℝm) that are each heteroclinic in x1. The proof uses minimization arguments.
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Quasilinear elliptic systems [PDF]

Annali di Matematica Pura ed Applicata (1923 -), 1978
The quasilinear elliptic system $$\sum\limits_{l{\text{ = 1}}}^n {\frac{\partial }{{\partial x_l }}\left\{ {\sum\limits_{j = 1}^N {\sum\limits_{m = 1}^n {C_{ij}^{lm} [x,U]\frac{{\partial U^j }}{{\partial x_m }} + B_i^l [x,U]} } } \right\} + F_i [x,U] = 0} $$
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Maximum principle and existence results for nonlinear cooperative systems on a bounded domain

Electronic Journal of Differential Equations, 2011
In this work we give necessary and sufficient conditions for having a maximum principle for cooperative elliptic systems involving p-Laplacian operator on a bounded domain.
Liamidi Leadi, Aboubacar Marcos
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Nonexistence results of nonnegative solutions of elliptic equations and systems on the Heisenberg group

AIMS Mathematics
This paper establishes sharp nonexistence criteria for nonnegative solutions to a class of quasilinear elliptic inequalities and divergence-type systems in the subelliptic framework of the Heisenberg group $ H^n $.
Wei Shi
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Multiplicity of Positive Solutions for Semilinear Elliptic Systems

Abstract and Applied Analysis, 2013
We study the effect of the coefficient of the critical nonlinearity on the number of positive solutions for semilinear elliptic systems. Under suitable assumptions for , , and , we should prove that for sufficiently small , there are at least positive ...
Tsing-San Hsu
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Controllability issues for parabolic-elliptic systems involving nonlocal couplings [PDF]

, 2023
Kuntal Bhandari, Víctor Hernández-Santamaría   +1 more
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Maximum principle and existence results for elliptic systems on R^N

Electronic Journal of Differential Equations, 2010
In this work we give necessary and sufficient conditions for having a maximum principle for cooperative elliptic systems involving p-Laplacian operator on the whole $mathbb{R}^{N}$. This principle is then used to yield solvability for the cooperative
Liamidi Leadi, Aboubacar Marcos
doaj