Existence and Nonexistence Results for a Class of Quasilinear Elliptic Systems

Existence and Nonexistence Results for a Class of Quasilinear Elliptic Systems

Existence Results for a Dirichlet Quasilinear Elliptic Problem

In this paper, existence results of positive classical solutions for a class of second-order differential equations with the nonlinearity dependent on the derivative are established. The approach is based on variational methods.

Existence of three solutions for a class of quasilinear elliptic systems involving the $p(x)$-Laplace operator

The aim of this paper is to obtain three weak solutions for the Dirichlet quasilinear elliptic systems on a bonded domain. Our technical approach is based on the general three critical points theorem obtained by Ricceri.

Existence and Nonexistence Results for Quasilinear Semipositone Dirichlet Problems

We use the sub/supersolution method to analyze a semipositone Dirichlet problem for the p-Laplacian. To find a positive solution, we therefore focus on a related problem that produces positive subsolutions. We establish a new nonexistence result for this subsolution problem on general domains, discuss the existence of positive radial subsolutions on balls, and then apply our results to problems...

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 (