In this article we use variational methods to study a strongly coupled elliptic system
depending on a positive parameter λ. We suppose that the potentials are nonnegative and …

Existence and multiplicity results for some elliptic systems at resonance - ScienceDirect Skip to
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The main purpose of this paper is to establish the existence of multiple solutions for a
quasilinear elliptic system involving sign-changing weight functions and variable exponent …

In this paper, we study the semilinear p-Laplacian system with critical growth terms in
bounded domains. By using the Nehari manifold and variational methods, we prove that the …

Abstract We establish an Amann-Zehnder-type result for resonance systems of quasilinear
elliptic equations with homogeneous Dirichlet boundary conditions, involving nonlinearities …

In this paper, we prove some new existence results concerning nontrivial solutions to some
fourth order boundary value problems u (4)(t)+ ηu ″(t)− ξu (t)= f (t, u (t)), 0< t< 1, u (0)= u (1) …

In this article, we investigate how the coefficient f (z) affects the number of positive solutions
of the quasilinear elliptic system−∆ pu= λg (z)| u| q− 2u+ α α+ β f (z)| u| α− 2u| v| β in Ω,−∆ …

In this paper, our aim is to study the following class of systems of Hénon type problems
(0.1){− Δ u= a (x) u+ b (x) v+| x| α K u (u+, v+)+ f 1 (x) in B 1,− Δ v= b (x) u+ c (x) v+| x| α K v …

A CLASS OF NONLINEAR ELLIPTIC SYSTEMS WITH STEKLOV-NEUMANN NONLINEAR
BOUNDARY CONDITIONS 1. Introduction. In this work, we will Page 1 ROCKY MOUNTAIN …

Multiplicity results for some elliptic systems near resonance with a nonprincipal eigenvalue -
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