This paper is about the higher differentiability of solutions to the Dirichlet problem $div (A(x, Du)) + b(x)u(x)=f$ in \Omega$ and $u=0$ on $\partial \Omega$ under a Sobolev assumption on the partial map $x \rightarrow A(x, \xi)$. The novelty here is that we consider nonuniformly elliptic operator and we take advantage from the regularizing effect of the lower order term to deal with bounded solutions.

A regularity result for nonuniformly elliptic equations with lower order terms / Radice, Teresa. - In: STUDIA MATHEMATICA. - ISSN 0039-3223. - 276:1(2024), pp. 1-17. [10.4064/sm230104-18-3]

A regularity result for nonuniformly elliptic equations with lower order terms

Teresa Radice
2024

Abstract

This paper is about the higher differentiability of solutions to the Dirichlet problem $div (A(x, Du)) + b(x)u(x)=f$ in \Omega$ and $u=0$ on $\partial \Omega$ under a Sobolev assumption on the partial map $x \rightarrow A(x, \xi)$. The novelty here is that we consider nonuniformly elliptic operator and we take advantage from the regularizing effect of the lower order term to deal with bounded solutions.
2024
A regularity result for nonuniformly elliptic equations with lower order terms / Radice, Teresa. - In: STUDIA MATHEMATICA. - ISSN 0039-3223. - 276:1(2024), pp. 1-17. [10.4064/sm230104-18-3]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/961146
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