6533b839fe1ef96bd12a679a

RESEARCH PRODUCT

Quasilinear Dirichlet Problems with Degenerated p-Laplacian and Convection Term

Elisabetta TornatoreDumitru Motreanu

subject

Convectionsub-supersolutionGeneral MathematicsOperator (physics)quasilinear elliptic problemlcsh:MathematicsMathematical analysisMathematics::Analysis of PDEsnonnegative solutionlcsh:QA1-939Dirichlet distributionTerm (time)symbols.namesakedegenereted p-LaplacianSettore MAT/05 - Analisi MatematicaBounded functionComputer Science (miscellaneous)p-Laplaciansymbolsconvection termEngineering (miscellaneous)Mathematics

description

The paper develops a sub-supersolution approach for quasilinear elliptic equations driven by degenerated p-Laplacian and containing a convection term. The presence of the degenerated operator forces a substantial change to the functional setting of previous works. The existence and location of solutions through a sub-supersolution is established. The abstract result is applied to find nontrivial, nonnegative and bounded solutions.

yearjournalcountryeditionlanguage
2021-01-11Mathematics
10.3390/math9020139https://www.mdpi.com/2227-7390/9/2/139