Results 71 to 80 of about 1,192 (101)

Single--peaks for a magnetic Schrödinger equation with critic al growth [PDF]

arXiv, 2006
We prove existence results of complex-valued solutions for a semilinear Schr\"odinger equation with critical growth under the perturbation of an external electromagnetic field. Solutions are found via an abstract perturbation result in critical point theory.
arxiv  

Existence and multiplicity of solutions for a new p(x)-Kirchhoff equation

Advances in Nonlinear Analysis
This article is devoted to study a class of new p(x)p\left(x)-Kirchhoff equation. By means of perturbation technique, variational method, and the method invariant sets for the descending flow, the existence and multiplicity of solutions to this problem ...
Chu Changmu, Liu Jiaquan
doaj   +1 more source

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., Rădulescu Vicenţiu D., Repovš Dušan D.   +2 more
doaj   +1 more source

An Agmon-Allegretto-Piepenbrink principle for Schrödinger operators. [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat, 2022
Buccheri S, Orsina L, Ponce AC.
europepmc   +1 more source

Existence and continuation of solutions for a nonlinear Neumann problem [PDF]

arXiv, 2006
In this article we study the existence, continuation and bifurcation from infinity of nonconstant solutions for a nonlinear Neumann problem. We apply the Leray-Schauder degree and the degree for SO(2)-equivariant gradient operators defined by the second author.
arxiv  

Multiple positive solutions for a class of concave-convex Schrödinger-Poisson-Slater equations with critical exponent

Advances in Nonlinear Analysis
In this article, we consider the multiplicity of positive solutions for a static Schrödinger-Poisson-Slater equation of the type −Δu+u2∗1∣4πx∣u=μf(x)∣u∣p−2u+g(x)∣u∣4uinR3,-\Delta u+\left({u}^{2}\ast \frac{1}{| 4\pi x| }\right)u=\mu f\left(x){| u| }^{p-2 ...
Zheng Tian-Tian, Lei Chun-Yu, Liao Jia-Feng   +2 more
doaj   +1 more source

Nodal Solutions for a Quasilinear Elliptic Equation Involving the p-Laplacian and Critical Exponents

Advanced Nonlinear Studies, 2018
This paper is concerned with the following type of quasilinear elliptic equations in ℝN{\mathbb{R}^{N}} involving the p-Laplacian and critical growth:
Deng Yinbin, Peng Shuangjie, Wang Jixiu
doaj   +1 more source

Existence results for quasilinear elliptic boundary value problems via topological methods [PDF]

arXiv, 2008
In this paper, existence and localization results of $C^1$-solutions to elliptic Dirichlet boundary value problems are established. The approach is based on the nonlinear alternative of Leray-Schauder.
arxiv  

Symmetric and Asymmetric Solutions of p-Laplace Elliptic Equations in Hollow Domains

Advanced Nonlinear Studies, 2018
In the present paper, we study the p-Laplace equation in a hollow symmetric bounded domain. Let H and G be closed subgroups of the orthogonal group such that H⊊G{H\varsubsetneq G}.
Kajikiya Ryuji
doaj   +1 more source

The Scalar Curvature Equation on $S^3$ [PDF]

arXiv, 2008
We give existence results for solutions of the prescribed scalar curvature equation on $S^3$, when the curvature function is a positive Morse function and satisfies an index-count condition.
arxiv