We study existence and uniqueness of solutions to a nonlinear elliptic boundary value problem with a general, and possibly singular, lower order term in an open bounded subset of RN ( N≥2 ), Δpu:=div(|∇u|p−2∇u) ( 1<p<N ) is the p-laplacian operator, μ is a nonnegative bounded Radon measure and H(s) is a continuous, positive and finite function outside the origin which grows at most as s−γ , with γ≥0 , near zero.

Existence and uniqueness results for possibly singular nonlinear elliptic equations with measure data / De Cave, Linda Maria; Durastanti, Riccardo; Oliva, Francescantonio. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - 25:3(2018). [10.1007/s00030-018-0509-7]

Existence and uniqueness results for possibly singular nonlinear elliptic equations with measure data

De Cave, Linda Maria;Durastanti, Riccardo;Oliva, Francescantonio
2018

Abstract

We study existence and uniqueness of solutions to a nonlinear elliptic boundary value problem with a general, and possibly singular, lower order term in an open bounded subset of RN ( N≥2 ), Δpu:=div(|∇u|p−2∇u) ( 1
Nonlinear elliptic equations, Singular elliptic equations, Measure data
01 Pubblicazione su rivista::01a Articolo in rivista
Existence and uniqueness results for possibly singular nonlinear elliptic equations with measure data / De Cave, Linda Maria; Durastanti, Riccardo; Oliva, Francescantonio. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - 25:3(2018). [10.1007/s00030-018-0509-7]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1118006
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