6533b85ffe1ef96bd12c27fc

RESEARCH PRODUCT

Regular solutions for nonlinear elliptic equations, with convective terms, in Orlicz spaces

Giuseppina BarlettaElisabetta Tornatore

subject

sub-supersolutionMathematics - Analysis of PDEsOrlicz-Sobolev spaceSettore MAT/05 - Analisi Matematicagradient dependenceGeneral Mathematicsnonlinear elliptic equationFOS: Mathematics35J25 35J99 46E35Analysis of PDEs (math.AP)

description

We establish some existence and regularity results to the Dirichlet problem, for a class of quasilinear elliptic equations involving a partial differential operator, depending on the gradient of the solution. Our results are formulated in the Orlicz-Sobolev spaces and under general growth conditions on the convection term. The sub- and supersolutions method is a key tool in the proof of the existence results.

yearjournalcountryeditionlanguage
2022-07-21
https://dx.doi.org/10.48550/arxiv.2207.10426