Nonlinear elliptic equations with variable exponents involving singular nonlinearity
Hichem Khelifi, Youssef El Hadfi
Abstract
In this paper, we prove the existence and regularity of weak positive solutions for a class of nonlinear elliptic equations with a singular nonlinearity, lower order terms and L1 datum in the setting of Sobolev spaces with variable exponents. We will prove that the lower order term has some regularizing effects on the solutions. This work generalizes some results given in [1–3].
Topics & Concepts
Nonlinear systemMathematicsSobolev spaceVariable (mathematics)Mathematical analysisClass (philosophy)Term (time)Order (exchange)Work (physics)Geodetic datumApplied mathematicsPhysicsComputer scienceThermodynamicsFinanceCartographyArtificial intelligenceEconomicsGeographyQuantum mechanicsNonlinear Partial Differential EquationsAdvanced Mathematical Physics ProblemsAdvanced Mathematical Modeling in Engineering