Results 11 to 20 of about 110 (85)

Nonlinear eigenvalue problems in Sobolev spaces with variable exponent [PDF]

Journal of Function Spaces and Applications, 2006
We study the boundary value problem -div⁡((|∇u|p1(x)-2+|∇u|p2(x)-2)∇u)=f(x,u) in Ω, u=0 on ∂Ω, where Ω is a smooth bounded domain in ℝN. We focus on the cases when f±(x,  u)=±(-λ|u|m(x)-2u+|u|q(x)-2u), where m(x)≔max⁡⁡{p1(x),p2(x)}
Teodora-Liliana Dinu
doaj   +2 more sources

Symmetric mountain pass lemma and sublinear elliptic equations

Journal of Differential Equations, 2016
This paper deals with the qualitative analysis of solutions of a class of quasilinear elliptic equations with Dirichlet zero boundary condition. The main result of this paper establishes a necessary and sufficient condition such that the zero solution is an accumulation point of the set of all solutions.
Ryuji Kajikiya
exaly   +3 more sources

Existencia de Soluciones Radiales para Problemas Semilineales Elípticos Indefinidos

Selecciones Matemáticas, 2020
We study the existence of radial solutions of indefinite semilinear elliptic equations in the unit ball in Rn (n>=3) with Dirichlet boundary conditions, whose nonlinear term has the form lamda.m(|x|)f(u) where m(|.|) is radially symmetric, discontinuous ...
Marco Calahorrano, Israel Cevallos
doaj   +4 more sources

p(x)-Kirchhoff bi-nonlocal elliptic problem driven by both p(x)-Laplacian and p(x)-Biharmonic operators

Moroccan Journal of Pure and Applied Analysis, 2023
We investigate the existence of non-trivial weak solutions for the following p(x)-Kirchhoff bi-nonlocal elliptic problem driven by both p(x)-Laplacian and p(x)-Biharmonic operators {M(σ)(Δp(x)2u-Δp(x)u)=λϑ(x)|u|q(x)-2u(∫Ωϑ(x)q(x)|u|q(x)dx)r in Ω,u∈W2,p(.)
Jennane Mohsine, Alaoui My Driss Morchid
doaj   +2 more sources

Multiplicity of ground state solutions for discrete nonlinear Schrodinger equations with unbounded potentials

Electronic Journal of Differential Equations, 2017
The discrete nonlinear Schrodinger equation is a nonlinear lattice system that appears in many areas of physics such as nonlinear optics, biomolecular chains and Bose-Einstein condensates.
Xia Liu, Tao Zhou, Haiping Shi
doaj   +2 more sources

Existence of infinitely many solutions for degenerate Kirchhoff-type Schrodinger-Choquard equations

Electronic Journal of Differential Equations, 2017
In this article we study a class of Kirchhoff-type Schrodinger-Choquard equations involving the fractional p-Laplacian. By means of Kajikiya's new version of the symmetric mountain pass lemma, we obtain the existence of infinitely many solutions ...
Sihua Liang, Vicentiu D. Radulescu
doaj   +1 more source

Existence of infinitely many small solutions for sublinear fractional Kirchhoff-Schrodinger-Poisson systems

Electronic Journal of Differential Equations, 2019
We study the Kirchhoff-Schrodinger-Poisson system $$\displaylines{ m([u]_{\alpha}^2)(-\Delta)^\alpha u+V(x)u+k(x)\phi u = f(x,u), \quad x\in\mathbb{R}^3,\cr (-\Delta)^\beta \phi = k(x)u^2, \quad x\in\mathbb{R}^3, }$$ where $[\cdot]_{\alpha ...
Jose Carlos de Albuquerque, Rodrigo Clemente, Diego Ferraz   +2 more
doaj   +2 more sources

Fast homoclinic solutions for damped vibration problems under local conditions

Journal of Inequalities and Applications
In this paper, we study the fast homoclinic solutions for the following damped vibration problems u ¨ ( t ) + q ( t ) u ˙ ( t ) − L ( t ) u ( t ) + ∇ W ( t , u ( t ) ) = 0 $\ddot{u}(t)+q(t)\dot{u}(t)-L(t)u(t)+\nabla W(t,u(t))=0$ , ∀ t ∈ R $\forall t \in \
Wen-Kai Li, Xin Xu, Chun-Ping Huang, Li-Li Wan   +3 more
doaj   +2 more sources

Infinitely many solutions for Schrodinger-Kirchhoff type equations involving the fractional p-Laplacian and critical exponent

Electronic Journal of Differential Equations, 2016
In this article, we show the existence of infinitely many solutions for the fractional p-Laplacian equations of Schrodinger-Kirchhoff type equation $$ M([u]_{s, p}^p) (-\Delta )_p^s u+V(x)|u|^{p-2}u= \alpha |u|^{ p_s^{*}-2 }u+\beta k(x)|u|^{q-2}u ...
Li Wang, Binlin Zhang
doaj   +1 more source

Existence and multiplicity of solutions for a new p(x)-Kirchhoff problem with variable exponents

Open Mathematics, 2023
In this article, we study a class of new p(x)-Kirchhoff problem without satisfying the Ambrosetti-Rabinowitz type growth condition. Under some suitable superliner conditions, we introduce new methods to show the boundedness of Cerami sequences.
Chu Changmu, Xie Yanling, Zhou Dizhi
doaj   +1 more source