Results 111 to 120 of about 1,452,798 (281)

Existence of infinitely many solutions for sublinear elliptic problems

Journal of Mathematical Analysis and Applications, 2003
AbstractLet N⩾2 and Ω⊂RN be a bounded domain. In the present paper, we show the existence of infinity many solutions of nonlinear Dirichlet boundary value problem −Δu=g(x,u),u∈H01(Ω), where g:Ω×R→R is a continuous function satisfying lim|t|→0g(x,t)/t→∞ for all x∈Ω.
openaire   +2 more sources

Infinitely many homoclinic solutions for a class of subquadratic second-order Hamiltonian systems [PDF]

arXiv, 2015
In this paper, we mainly consider the existence of infinitely many homoclinic solutions for a class of subquadratic second-order Hamiltonian systems $\ddot{u}-L(t)u+W_u(t,u)=0$, where $L(t)$ is not necessarily positive definite and the growth rate of potential function $W$ can be in $(1,3/2)$. Using the variant fountain theorem, we obtain the existence
arxiv  

INFINITELY MANY SOLUTIONS TO THE NEUMANN PROBLEM FOR ELLIPTIC EQUATIONS INVOLVING THE p-LAPLACIAN AND WITH DISCONTINUOUS NONLINEARITIES [PDF]

, 2002
Pasquale Candito
openalex   +1 more source

Infinitely many large energy solutions of superlinear Schrodinger-Maxwell equations

Electronic Journal of Differential Equations, 2012
In this article we study the existence of infinitely many large energy solutions for the superlinear Schrodinger-Maxwell equations $$displaylines{ -Delta u+V(x)u+ phi u=f(x,u) quad hbox{in }mathbb{R}^3,cr -Delta phi=u^2, quad hbox{in }mathbb{R}^3, }
Lin Li, Shang-Jie Chen
doaj  

Infinite-dimensional dynamical instabilities of noncompact stationary Ricci flow solutions [PDF]

arXiv
Regarding Ricci flow as a dynamical system, we derive sufficient conditions for noncompact stationary (Ricci-flat) solutions to possess infinite-dimensional unstable manifolds, and provide examples satisfying those criteria that have uncountably many unstable perturbations.
arxiv  

Infinitely Many Normalized Solutions for a Quasilinear Schrödinger Equation

The Journal of Geometric Analysis
In this paper, we are concerned with a quasilinear Schrodinger equation with well-known Berestycki--Lions nonliearity. The existence of infinitely many normalized solutions is obtained via a minimax argument.
Yang, Xianyong, Zhao, Fukun
openaire   +2 more sources

Solutions for Underdetermined Generalized Absolute Value Equations [PDF]

arXiv
An underdetermined generalized absolute value equation (GAVE) may have no solution, one solution, finitely many or infinitely many solutions. This paper is concerned with sufficient conditions that guarantee the existence of solutions to an underdetermined GAVE.
arxiv  

Infinitely many positive solutions for the Neumann problem involving the p-Laplacian [PDF]

, 2003
Giovanni Anello, Giuseppe Cordaro
openalex   +1 more source

Infinitely many solutions for fractional Schr\"odinger equations in R^N

Electronic Journal of Differential Equations, 2016
Using variational methods we prove the existence of infinitely many solutions to the fractional Schrodinger equation $$ (-\Delta)^su+V(x)u=f(x,u), \quad x\in\mathbb{R}^N, $$ where $N\ge 2, s\in (0,1)$.
Caisheng Chen
doaj  

Infinitely many normalized solutions of $L^2$-supercritical NLS equations on noncompact metric graphs with localized nonlinearities [PDF]

arXiv
We consider the existence of solutions for nonlinear Schr\"odinger equations on noncompact metric graphs with localized nonlinearities. In an $L^2$-supercritical regime, we establish the existence of infinitely many solutions for any prescribed mass.
arxiv