Results 31 to 40 of about 429 (89)

One‐sided resonance for quasilinear problems with asymmetric nonlinearities

, 2002
Abstract and Applied Analysis, Volume 7, Issue 1, Page 53-60, 2002.
Kanishka Perera
wiley   +1 more source

Weak homoclinic solutions of anisotropic difference equation with variable exponents

Advances in Differential Equations, 2012
In this paper, we prove the existence of homoclinic solutions for a family of anisotropic difference equations. The proof of the main result is based on a minimization method and a discrete Hölder type inequality. MSC:47A75, 35B38, 35P30, 34L05, 34L30.
A. Guiro, B. Kone, S. Ouaro
semanticscholar   +1 more source

Nonlocal eigenvalue problems with variable exponent

Moroccan Journal of Pure and Applied Analysis, 2018
We consider the nonlocal eigenvalue problem of the following ...
Azroul Elhoussine, Shimi Mohammed
doaj   +1 more source

On $(p,q)$-eigenvalues of subelliptic operators on nilpotent Lie groups [PDF]

arXiv, 2021
In the article we study the Dirichlet $(p,q)$-eigenvalue problem for subelliptic non-commutative operators on nilpotent Lie groups. We prove solvability of this eigenvalue problem and existence of the minimizer of the corresponding variational problem.
arxiv  

Spectral analysis of a nonlinear boundary-value problem in a perforated domain. Applications to the Friedrichs inequality in L_p

, 2016
The paper deals with asymptotic expansion for p -Laplace boundary-value problem in a domain periodically perforated along the boundary. It is assumed that the later boundary of the domain is subject to the Neumann boundary condition while the Dirichlet ...
Y. Koroleva
semanticscholar   +1 more source

On the solvability of discrete nonlinear Neumann problems involving the p(x)-Laplacian

, 2011
In this article, we prove the existence and uniqueness of solutions for a family of discrete boundary value problems for data f which belongs to a discrete Hilbert space W. 2010 Mathematics Subject Classification: 47A75; 35B38; 35P30; 34L05; 34L30.
A. Guiro, Ismael Nyanquini, S. Ouaro
semanticscholar   +1 more source

Limiting Sobolev inequalities and the 1-biharmonic operator

Advances in Nonlinear Analysis, 2014
In this article we present recent results on optimal embeddings, and associated PDEs, of the space of functions whose distributional Laplacian belongs to L1.
Parini Enea, Ruf Bernhard, Tarsi Cristina   +2 more
doaj   +1 more source

Some hemivariational inequalities in the Euclidean space

Advances in Nonlinear Analysis, 2019
The purpose of this paper is to study the existence of weak solutions for some classes of hemivariational problems in the Euclidean space ℝd (d ≥ 3). These hemivariational inequalities have a variational structure and, thanks to this, we are able to find
Bisci Giovanni Molica, Repovš Dušan
doaj   +1 more source

A Critical Point Theorem for Perturbed Functionals and Low Perturbations of Differential and Nonlocal Systems

Advanced Nonlinear Studies, 2020
In this paper we establish a new critical point theorem for a class of perturbed differentiable functionals without satisfying the Palais–Smale condition.
Bahrouni Anouar, Rădulescu Vicenţiu D., Winkert Patrick   +2 more
doaj   +1 more source

A non-local semilinear eigenvalue problem [PDF]

arXiv, 2022
For a non-local semilinear eigenvalue problem, we prove simplicity and isolation of the first eigenvalue with homogeneous Dirichlet boundary conditions on open sets supporting a suitable compact Sobolev embedding.
arxiv