Results 101 to 110 of about 1,141 (123)
Diffeomorphism-invariant properties for quasi-linear elliptic operators [PDF]
arXiv, 2011 For quasi-linear elliptic equations we detect relevant properties which remain invariant under the action of a suitable class of diffeomorphisms. This yields a connection between existence theories for equations with degenerate and non-degenerate coerciveness.
arxiv
Existence and Multiplicity of Solutions for Resonant (p,2)-Equations
Advanced Nonlinear Studies, 2018 We consider Dirichlet elliptic equations driven by the sum of a p-Laplacian ...
Papageorgiou Nikolaos S. +2 more
doaj +1 more source
Global compactness for a class of quasi-linear elliptic problems [PDF]
arXiv, 2011 We prove a global compactness result for Palais-Smale sequences associated with a class of quasi-linear elliptic equations on exterior domains.
arxiv
On symmetry results for elliptic equations with convex nonlinearities [PDF]
arXiv, 2012 We investigate partial symmetry of solutions to semi-linear and quasi-linear elliptic problems with convex nonlinearities, in domains that are either axially symmetric or radially symmetric.
arxiv
Infinitely Many Solutions for a Non-homogeneous Differential Inclusion with Lack of Compactness
Advanced Nonlinear Studies, 2019 In this paper, we consider the following class of differential inclusion problems in ℝN{\mathbb{R}^{N}} involving the p(x){p(x)}-Laplacian:
Ge Bin, Rădulescu Vicenţiu D.
doaj +1 more source
Advances in Nonlinear AnalysisIn this article, we consider the following double critical fractional Schrödinger-Poisson system involving p-Laplacian in R3{{\mathbb{R}}}^{3} of the form: εsp(−Δ)psu+V(x)∣u∣p−2u−ϕ∣u∣ps♯−2u=∣u∣ps*−2u+f(u)inR3,εsp(−Δ)sϕ=∣u∣ps♯inR3,\left\{\begin{array}{l}{\
Liang Shuaishuai +2 more
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Asymptotically linear fractional Schrodinger equations [PDF]
arXiv, 2014 By exploiting a variational technique based upon projecting over the Pohozaev manifold, we prove existence of positive solutions for a class of nonlinear fractional Schrodinger equations having a nonhomogenous nonautonomous asymptotically linear nonlinearity.
arxiv
(p,2)-equations asymmetric at both zero and infinity
Advances in Nonlinear Analysis, 2018 We consider a (p,2){(p,2)}-equation, that is, a nonlinear nonhomogeneous elliptic equation driven by the sum of a p-Laplacian and a Laplacian with p>2{p>2}.
Papageorgiou Nikolaos S. +2 more
doaj +1 more source
An Improved Fountain Theorem and Its Application
Advanced Nonlinear Studies, 2017 The main aim of the paper is to prove a fountain theorem without assuming the τ-upper semi-continuity condition on the variational functional. Using this improved fountain theorem, we may deal with more general strongly indefinite elliptic problems with ...
Gu Long-Jiang, Zhou Huan-Song
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On fractional p-Laplacian problems with weight [PDF]
arXiv, 2014 We investigate the existence of nonnegative solutions for a nonlinear problem involving the fractional p-Laplacian operator. The problem is set on a unbounded domain, and compactness issues have to be handled.
arxiv