6533b854fe1ef96bd12ae4d9

RESEARCH PRODUCT

On the Sub-Supersolution Approach for Dirichlet Problems driven by a (p(x), q(x))-Laplacian Operator with Convection Term

A ChinniA SciammettaE Tornatore

subject

sub-supersolutionpositive solutionSettore MAT/05 - Analisi Matematicagradient dependence(p(x) q(x))-LaplacianDirichlet problem

description

The method of sub and super-solution is applied to obtain existence and location of solutions to a quasilinear elliptic problem with variable exponent and Dirichlet boundary conditions involving a nonlinear term f depending on solution and on its gradient. Under a suitable growth condition on the convection term f, the existence of at least one solution satisfying a priori estimate is obtained.

http://hdl.handle.net/10447/527546