We consider a class of nonlinear elliptic equations driven by a fully anisotropic elliptic operator, and with a Carathéodory reaction. The elliptic operator depends on x and on the gradient of u, via the differential (with respect to u) of a general function belonging to a class of admissible functions. We present also several examples showing how our theorem incorporates the non-radial case, as well as that of functions with no polynomial growth.

On a class of fully anisotropic elliptic equations

Barletta G.
2020-01-01

Abstract

We consider a class of nonlinear elliptic equations driven by a fully anisotropic elliptic operator, and with a Carathéodory reaction. The elliptic operator depends on x and on the gradient of u, via the differential (with respect to u) of a general function belonging to a class of admissible functions. We present also several examples showing how our theorem incorporates the non-radial case, as well as that of functions with no polynomial growth.
2020
Anisotropic elliptic equations
Critical points methods
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/66350
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