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

DOI10.1134/S000143462005034XzbMath1443.35045OpenAlexW3040698057MaRDI QIDQ2192174

Alexander A. Kovalevsky

Publication date: 29 June 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000143462005034x

zbMATH Keywords

Dirichlet problemweak solutionentropy solutionnonlinear elliptic equationsummability of solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Quasilinear elliptic equations (35J62)

Related Items

Harnack's inequality of weak type for the parabolic \(p (x)\)-Laplacian

Cites Work

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• \(W^{1,1}_0\) solutions in some borderline cases of Calderón-Zygmund theory
• Integrability of solutions of nonlinear elliptic equations with right-hand sides from logarithmic classes
• Nonlinear elliptic and parabolic equations involving measure data
• On the integrability of solutions of nonlinear elliptic equations with right-hand sides in classes close to \(L^ 1\).
• Summability of solutions of the Dirichlet problem for nonlinear elliptic equations with right-hand side in logarithmic classes close to \(L^1\)
• Integrability properties of functions with a given behavior of distribution functions and some applications
• On the limiting regularity result of some nonlinear elliptic equations
• General conditions for limit summability of solutions of nonlinear elliptic equations with \(L^1\)-data
• Existence results for nonlinear elliptic equations with degenerate coercivity
• Nonlinear Elliptic Equations with Right Hand Side Measures