Wolff potentials and measure data vectorial problems with Orlicz growth
Iwona Chlebicka, Yeonghun Youn, Anna Zatorska‐Goldstein
Abstract
Abstract We study solutions to measure data elliptic systems with Uhlenbeck-type structure that involve operator of divergence form, depending continuously on the spacial variable, and exposing doubling Orlicz growth with respect to the second variable. Pointwise estimates for the solutions that we provide are expressed in terms of a nonlinear potential of generalized Wolff type. Not only we retrieve the recent sharp results proven for p -Laplace systems, but additionally our study covers the natural scope of operators with similar structure and natural class of Orlicz growth.
Topics & Concepts
MathematicsPointwiseMeasure (data warehouse)Type (biology)Operator (biology)Variable (mathematics)Mathematical analysisDivergence (linguistics)Nonlinear systemPure mathematicsClass (philosophy)Applied mathematicsArtificial intelligenceTranscription factorQuantum mechanicsPhilosophyEcologyPhysicsRepressorBiologyDatabaseBiochemistryGeneLinguisticsChemistryComputer scienceNonlinear Partial Differential EquationsAdvanced Harmonic Analysis ResearchAdvanced Mathematical Modeling in Engineering