In a very general quasilinear setting, we show that the regularizing effect of a first order term causes the existence of energy solutions for problems involving the Hardy potential and L1 data. In the same setting we study sharp (local and global) integral estimates for the second derivatives of the solutions.

Existence and regularity for a general class of quasilinear elliptic problems involving the Hardy potential

Chirillo G.;Montoro L.;Muglia L.;Sciunzi B.
2023-01-01

Abstract

In a very general quasilinear setting, we show that the regularizing effect of a first order term causes the existence of energy solutions for problems involving the Hardy potential and L1 data. In the same setting we study sharp (local and global) integral estimates for the second derivatives of the solutions.
2023
Existence and regularity
Hardy potential
Quasilinear elliptic equations
Supercritical problems
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/377702
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