Results 41 to 50 of about 38,310 (232)

Nontrivial Solutions for Asymmetric Kirchhoff Type Problems

Abstract and Applied Analysis, 2014
We consider a class of particular Kirchhoff type problems with a right-hand side nonlinearity which exhibits an asymmetric growth at +∞ and −∞ in ℝN(N=2,3). Namely, it is 4-linear at −∞ and 4-superlinear at +∞.
Ruichang Pei, Jihui Zhang
doaj   +1 more source

A Dirichlet problem with asymptotically linear and changing sign nonlinearity [PDF]

, 2003
This paper deals with the problem of finding positive solutions to the equation ¡¢u = g(x; u) on a bounded domain ­; with Dirichlet boundary conditions. The function g can change sign and has asymptotically linear behaviour.
Lucia, Marcello, Magrone, Paola, Zhou, Huan-Song   +2 more
core   +2 more sources

Existence and multiplicity of nontrivial solutions for Schrödinger-Poisson systems on bounded domains

Boundary Value Problems, 2018
In this paper, we concern with the following Schrödinger-Poisson system: {−Δu+ϕu=f(x,u),x∈Ω,−Δϕ=u2,x∈Ω,u=ϕ=0,x∈∂Ω, $$ \textstyle\begin{cases} -\Delta u+\phi u = f(x,u) , & x\in\Omega,\\ -\Delta\phi=u^{2}, & x\in\Omega,\\ u=\phi=0, & x \in\partial\Omega, \
Belal Almuaalemi, Haibo Chen, Sofiane Khoutir   +2 more
doaj   +1 more source

Existence and Multiplicity of Fast Homoclinic Solutions for a Class of Nonlinear Second-Order Nonautonomous Systems in a Weighted Sobolev Space

Journal of Function Spaces, 2015
This paper is concerned with the following nonlinear second-order nonautonomous problem: ü(t)+q(t)u̇(t)-∇K(t,u(t))+∇W(t,u(t))=0, where t∈R, u∈RN, and K, W∈C1(R×RN,R) are not periodic in t and q:R→R is a continuous function and Q(t)=∫0t‍q(s)ds with lim|t|
Qiongfen Zhang, Yuan Li
doaj   +1 more source

Existence and multiplicity of nontrivial solutions for poly-Laplacian systems on finite graphs

Boundary Value Problems, 2022
In this paper, we investigate the existence and multiplicity of nontrivial solutions for poly-Laplacian system on a finite graph G = ( V , E ) $G=(V, E)$ , which is a generalization of the Yamabe equation on a finite graph.
Xuechen Zhang, Xingyong Zhang, Junping Xie, Xiaoli Yu   +3 more
doaj   +1 more source

Cerami (C) Condition and Mountain Pass Theorem for Multivalued Mappings

, 2002
Summary: We prove a general minimax result for a multivalued mapping. As an application, we give existence results on critical points of this mapping which satisfy the Cerami (C) condition.
Alexandru Kristály, Cs. Varga
openalex   +4 more sources

Existence of at least one nontrivial solution for a class of problems involving both p(x)-Laplacian and p(x)-Biharmonic

پژوهش‌های ریاضی, 2022
We investigate the existence of a weak nontrivial solution for the following problem. Our analysis is generally bathed on discussions of variational based on the Mountain Pass theorem and some recent theories one the generalized Lebesgue-Sobolev space ...
Atieh Ramzannia Jalali, Ghasem Alizadeh Afrouzi   +1 more
doaj  

Existence and Multiplicity of Homoclinic Orbits for Second-Order Hamiltonian Systems with Superquadratic Potential

Abstract and Applied Analysis, 2013
We investigate the existence and multiplicity of homoclinic orbits for second-order Hamiltonian systems with local superquadratic potential by using the Mountain Pass Theorem and the Fountain Theorem, respectively.
Ying Lv, Chun-Lei Tang
doaj   +1 more source

Mountain pass theorems and global homeomorphism theorems [PDF]

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1994
We show that mountain-pass theorems can be used to derive global homeomorphism theorems. Two new mountain-pass theorems are proved, generalizing the “smooth” mountain-pass theorem, one applying in locally compact topological spaces, using Hofer’s concept of mountain-pass point, and another applying in complete metric spaces, using a generalized notion ...
openaire   +2 more sources

Existence of Weak Solutions of P-Laplacian Problem [PDF]

, 2015
This project deals with the variational and the Nehari manifold method ,or by the Nehari hypothesis for the p-Laplacian equations in a bounded domain or in the whole space.Then a proof of the existence of the weak solutions of the given p-Laplacian ...
Patra, Asim
core   +1 more source