Existence and Nonexistence of Nontrivíal Solutions for Some Nonlinear Elliptie Systems

Existence and Nonexistence of Positive Radial Solutions for Quasilinear Systems

The paper deals with the existence and nonexistence of positive radial solutions for the weakly coupled quasilinear system div (

Existence of Positive Radial Solutions for Some Nonlinear Elliptic Systems

In this paper we study a class of nonvariational elliptic systems, by using the Gidas-Spruck Blow-up method. first, we obtain a priori estimates, and then using Leray-Schauder topological degree theory, we establish the existence of positive radial solutions vanishing at infinity.

Existence and Nonexistence of Positive Solutions for Quasilinear Systems

The paper deals with the existence and nonexistence of positive solutions for a class of p-Laplacian systems. We investigate the effect of the size of the domain on the existence of positive solution for the problem in sublinear cases. We will use fixed point theorems in a cone. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted...

Nonexistence of Positive Solutions for Some Fully Nonlinear Elliptic Equations

denote the kth elementary symmetric function, and let Γk denote the connected component of {λ ∈ R : σk(λ) > 0} containing the positive cone {λ ∈ R : λ1 > 0, · · · , λn > 0}. It is well known that Γk = {λ ∈ R : σl(λ) > 0, 1 ≤ l ≤ k}. Let S denote the set of n× n real symmetric matrices. For any A ∈ S we denote by λ(A) the eigenvalues of A. Throughout this note we will assume that Γ ⊂ R is an ope...

Nonexistence of Solutions for Some Nonlinear Elliptic Equations Involving Measures