Summability of solutions of the Dirichlet problem for nonlinear elliptic equations with right-hand side in logarithmic classes close to \(L^1\)

DOI10.1016/j.na.2019.111692zbMath1436.35057OpenAlexW2990238277MaRDI QIDQ1985812

Alexander A. Kovalevsky

Publication date: 7 April 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2019.111692

zbMATH Keywords

entropy solution

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Quasilinear elliptic equations (35J62)

Related Items (2)

Summability of solutions of the Dirichlet problem for nonlinear elliptic equations with right-hand side in classes close to \(L^1\) ⋮ Existence and regularity of solutions to elliptic equation with singular convection term and lower order term

Cites Work

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• Existence and uniqueness for \(L^1\) data of some elliptic equations with natural growth
• Singular Solutions of Nonlinear Elliptic and Parabolic Equations
• Nonlinear Elliptic Equations with Right Hand Side Measures

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