Results 81 to 90 of about 2,592,777 (103)

A multiplicity result for quasilinear problems with convex and concave nonlinearities and nonlinear boundary conditions inunbounded domains

Electronic Journal of Differential Equations, 2005
We study the following quasilinear problem with nonlinear boundary conditions $$displaylines{ -Delta_{p}u=lambda a(x)|u|^{p-2}u+k(x)|u|^{q-2}u-h(x)|u|^{s-2}u, quad hbox{in }Omega,cr | abla u|^{p-2} abla ucdoteta+b(x)|u|^{p-2}u=0quad hbox{on ...
Dimitrios A. Kandilakis
doaj  

Bubbling Phenomena of Certain Palais-Smale Sequences of m-Harmonic Type Systems

, 2008
. In this paper, we study the bubbling phenomena of weak solution sequences of a class of degenerate quasilinear elliptic systems of m-harmonic type. We prove that, under appropriate conditions, the energy is preserved during the bubbling process.
Changyou Wang, Libin Mou
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Nonlinear elliptic systems with exponential nonlinearities

Electronic Journal of Differential Equations, 2002
In this paper we investigate the existence of solutions for {gather*} -mathop{m div}( a(| abla u | ^N)| abla u |^{N-2}u ) = f(x,u,v) quad mbox{in } Omega -mathop{m div}(a(| abla v| ^N)| abla v |^{N-2}v )= g(x,u,v) quad mbox{in } Omega u(x) = v(x) = 0 ...
Said El Manouni, Abdelfattah Touzani
doaj  

A min-max principle for non-differentiable functions with a weak compactness condition

, 2009
A general critical point result established by Ghoussoub is extended to the case of locally Lipschitz continuous functions satisfying a weak Palais-Smale hypothesis, which includes the so-called non-smooth Cerami condition.
Livrea, Roberto, Marano, Salvatore A., Livrea R., Marano S. A.   +3 more
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Multiplicity of solutions for a class of elliptic systems in $R^N$

Electronic Journal of Differential Equations, 2006
This article concerns the multiplicity of solutions for the system of equations $$displaylines{ -Delta u + V(epsilon x)u = alpha |u|^{alpha-2}u|v|^{eta}, cr -Delta v + V(epsilon x)v = eta |u|^{alpha}|v|^{eta-2}v }$$ in $mathbb{R}^N$, where $V$ is a ...
Giovany M. Figueiredo
doaj  

Spectral and Palais-Smale conditions for global injectivity of local diffeomorphisms in R2

, 2014
In this work we consider two sufficient conditions for the global injectivity of local diffeomorphisms X : R2 → R2 of class C1. The first is based on the spectrum of X, in this case it is enough to consider X differentiable, and the second is known as ...
Lima, Raildo Santos de, Raildo Lima
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Standing Waves of the NLS Equation on Locally Finite Weighted Graphs: A Linking Geometry Approach

Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi
We investigate wave solutions of the nonlinear Schrödinger equation (H-λ)u=f(x,u) on a locally finite weighted graph, where H is the associated Schrödinger operator.
Setenay Akduman
doaj   +1 more source

The Palais-Smale condition for contact type energy levels for convex lagrangian systems

, 2003
. We prove that for a uniformly convex Lagrangian system L on a compact manifold M, almost all energy levels contain a periodic orbit. We also prove that below Mañé’s critical value of the lift of the Lagrangian to the universal cover, cu(L), almost ...
Gonzalo Contreras
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Solutions to perturbed eigenvalue problems of the p-Laplacian in R^N

Electronic Journal of Differential Equations, 1997
Using a variational approach, we investigate the existence of solutions for non-autonomous perturbations of the p-Laplacian eigenvalue problem $$ -Delta _pu=f(x,u)quad { m in}quad {Bbb R}^N,. $$ Under the assumptions that the primitive $F(x,u)$ of $f(x,u)
Joao Marcos Do O
doaj  

Palais-Smale decomposition lemmas in axially symmetry domains

, 2010
[[abstract]]In this article, we first establish a Palais Smale decomposition lemma, then apply it to assert the existence of solutions of equation (I) in y-symmetric unbounded domains.[[fileno]]2010234010004[[department ...
Wang HC;Wu TF
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