Results 91 to 100 of about 1,368 (124)

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

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  

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

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  

Nodal solutions for a zero-mass Chern-Simons-Schrödinger equation

Advances in Nonlinear Analysis
This study deals with the existence of nodal solutions for the following gauged nonlinear Schrödinger equation with zero mass: −Δu+hu2(∣x∣)∣x∣2+∫∣x∣+∞hu(s)su2(s)dsu=∣u∣p−2u,x∈R2,-\Delta u+\left(\frac{{h}_{u}^{2}\left(| x| )}{{| x| }^{2}}+\underset{| x| }{
Deng Yinbin, Liu Chenchen, Yang Xian
doaj   +1 more source

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

Generalized Schrodinger-Poisson type systems [PDF]

arXiv, 2010
In this paper we study some Schrodinger-Poisson type systems on a bounded domain, with Dirichlet boundary condition on both the variables.
arxiv  

Ground states for Schrödinger-Poisson system with zero mass and the Coulomb critical exponent

Advances in Nonlinear Analysis
This article focuses on the study of the following Schrödinger-Poisson system with zero mass: −Δu+ϕu=∣u∣u+f(u),x∈R3,−Δϕ=u2,x∈R3,\left\{\begin{array}{ll}-\Delta u+\phi u=| u| u+f\left(u),& x\in {{\mathbb{R}}}^{3},\\ -\Delta \phi ={u}^{2},& x\in {{\mathbb ...
Zhang Jing, Qin Dongdong, Sahara Siti, Wu Qingfang   +3 more
doaj   +1 more source

A Diffusion Equation with a Variable Reaction Order

Advanced Nonlinear Studies, 2018
This paper deals with the ...
García-Melián Jorge, Rossi Julio D., Sabina de Lis José C.   +2 more
doaj   +1 more source

Existence results of variable exponent double-phase multivalued elliptic inequalities with logarithmic perturbation and convections

Advances in Nonlinear Analysis
In this study, we deal with a multivalued elliptic variational inequality involving a logarithmic perturbed variable exponents double-phase operator. Additionally, it features a multivalued convection term alongside two multivalued terms, one defined ...
Cen Jinxia, Lu Yasi, Vetro Calogero, Zeng Shengda   +3 more
doaj   +1 more source