Results 51 to 60 of about 1,192 (101)
Schrodinger equation with critical Sobolev exponent [PDF]
arXiv, 2004 In this paper we study the existence of solutions and their concentration phenomena of a singularly perturbed semilinear Schrodinger equation with the presence of the critical Sobolev exponent.
arxiv
A note on the Neumann problem [PDF]
arXiv, 2009 In this paper we provide an application to the Neumann problem of a recent three critical points theorem.
arxiv
On the Dirichlet Problem Generated by the Maz'ya--Sobolev Inequality [PDF]
arXiv, 2011 We discuss the attainability of sharp constants for the Maz'ya--Sobolev inequalities in wedges, "perturbed" wedges and bounded domains.
arxiv
Symmetry of Traveling Wave Solutions to the Allen-Cahn Equation in $\Er^2$ [PDF]
, 2011 In this paper, we prove even symmetry of monotone traveling wave solutions to the balanced Allen-Cahn equation in the entire plane. Related results for the unbalanced Allen-Cahn equation are also discussed.
arxiv +1 more source
Perturbation results for some nonlinear equations involving fractional operators [PDF]
arXiv, 2012 By using a perturbation technique in critical point theory, we prove the existence of solutions for two types of nonlinear equations involving fractional differential operators.
arxiv
Multiplicity of positive solutions for a critical quasilinear Neumann problem [PDF]
arXiv, 2016 We establish the multiplicity of positive solutions to a quasilinear Neumann problem in expanding balls and hemispheres with critical exponent in the boundary condition.
arxiv
Existence results for nonlinear elliptic problems on fractal domains
Advances in Nonlinear Analysis, 2016 Some existence results for a parametric Dirichlet problem defined on the Sierpiński fractal are proved. More precisely, a critical point result for differentiable functionals is exploited in order to prove the existence of a well-determined open interval
Ferrara Massimiliano +2 more
doaj +1 more source
(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
Semiclassical limit for nonlinear Schroedinger equations with electromagnetic fields [PDF]
arXiv, 2001 We prove some multiplicity results by means of a perturbation technique in critical point theory.
arxiv
Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb{R}^N$ [PDF]
, 2012 We construct solutions to a class of Schr\"{o}dinger equations involving the fractional laplacian. Our approach is variational in nature, and based on minimization on the Nehari manifold.
arxiv +1 more source