On the Dirichlet Problem for some Nonlinear Degenerated Elliptic Equations with Weight
Mohamed El Ouaarabi, Chakir Allalou, Adil Abbassi
Abstract
We will be concerned with the existence result of a class of nonlinear degenerate elliptic equations of the form (1) by adopting Sobolev spaces with weight $W_0^{1,p}\left({{{\Omega }},{\omega _1}}\right)$. We prove that there exists a unique solution for any L <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sup> -data.
Topics & Concepts
Degenerate energy levelsOmegaSobolev spaceNonlinear systemClass (philosophy)MathematicsDirichlet problemDirichlet distributionPure mathematicsElliptic curveMathematical analysisDiscrete mathematicsComputer sciencePhysicsArtificial intelligenceQuantum mechanicsBoundary value problemNonlinear Partial Differential EquationsAdvanced Harmonic Analysis ResearchAdvanced Mathematical Physics Problems