Existence of a generalized solution to a strongly singular convective elliptic equation in the whole space is established. The differential operator, patterned after the (p, q)-Laplacian, can be non-homogeneous. The result is obtained by solving some regularized problems through fixed point theory, variational methods and compactness results, besides exploiting nonlinear regularity theory and comparison principles.

STRONGLY SINGULAR CONVECTIVE ELLIPTIC EQUATIONS IN R^N DRIVEN BY A NON-HOMOGENEOUS OPERATOR

Guarnotta, U.
2022-01-01

Abstract

Existence of a generalized solution to a strongly singular convective elliptic equation in the whole space is established. The differential operator, patterned after the (p, q)-Laplacian, can be non-homogeneous. The result is obtained by solving some regularized problems through fixed point theory, variational methods and compactness results, besides exploiting nonlinear regularity theory and comparison principles.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11387/158814
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