Results 61 to 70 of about 1,368 (124)
Elliptic equations with one-sided critical growth
Electronic Journal of Differential Equations, 2002 We consider elliptic equations in bounded domains $Omegasubset mathbb{R}^N $ with nonlinearities which have critical growth at $+infty$ and linear growth $lambda$ at $-infty$, with $lambda > lambda_1$, the first eigenvalue of the Laplacian. We prove that
Marta Calanchi, Bernhard Ruf
doaj
, 1999 Abstract and Applied Analysis, Volume 4, Issue 1, Page 61-69, 1999.
P. Amster +3 more
wiley +1 more source
Advances in Nonlinear Analysis, 2022 In this article, we study the existence of multiple solutions to a generalized p(⋅)p\left(\cdot )-Laplace equation with two parameters involving critical growth.
Ho Ky, Sim Inbo
doaj +1 more source
A strongly indefinite Choquard equation with critical exponent due to the Hardy-Littlewood-Sobolev inequality [PDF]
arXiv, 2017 In this paper we are concerned with the following nonlinear Choquard equation $$-\Delta u+V(x)u =\left(\int_{\mathbb{R}^N}\frac{G(y,u)}{|x-y|^{\mu}}dy\right)g(x,u)\hspace{4.14mm}\mbox{in}\hspace{1.14mm} \mathbb{R}^N, $$ where $N\geq4$, $0<\mu
arxiv
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