Local and global regularity of weak solutions of elliptic equations with superquadratic Hamiltonian

DOI10.1090/S0002-9947-2015-05976-5zbMath1315.35047arXiv1205.1666OpenAlexW2064859126MaRDI QIDQ5246954

Alessio Porretta, Andrea Dall'Aglio

Publication date: 22 April 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.1666

zbMATH Keywords

elliptic equationsboundedness of solutionslocal estimatesHölder continuity of solutionssuperquadratic growthweak subsolutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Partial differential inequalities and systems of partial differential inequalities (35R45) Nonlinear elliptic equations (35J60) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items (7)

Large solutions and gradient bounds for quasilinear elliptic equations ⋮ Sobolev regularity for the first order Hamilton-Jacobi equation ⋮ Hölder regularity and Liouville properties for nonlinear elliptic inequalities with power-growth gradient terms ⋮ An approach to elliptic equations with nonlinear gradient terms via a modulation framework ⋮ On the problem of maximal \(L^q\)-regularity for viscous Hamilton-Jacobi equations ⋮ Large-time behavior of unbounded solutions of viscous Hamilton-Jacobi equations in RN ⋮ Local Hölder and maximal regularity of solutions of elliptic equations with superquadratic gradient terms

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