Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems

DOI10.2140/apde.2016.9.1115zbMath1347.35117arXiv1602.00119OpenAlexW3104155247MaRDI QIDQ530991

Miroslav Bulíček, Lars Diening, Sebastian Schwarzacher

Publication date: 2 August 2016

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.00119

zbMATH Keywords

existence uniqueness monotone operator Muckenhoupt weights weighted space weighted estimates nonlinear elliptic systems very weak solution div-curl-biting lemma

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Nonlinear boundary value problems for nonlinear elliptic equations (35J66) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boundary value problems for second-order elliptic systems (35J57)

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