Continuous dependence on the data for nonlinear elliptic equations via symmetrization

DOI10.4171/RLM/557zbMath1187.35067MaRDI QIDQ966204

Maria Francesca Betta, Anna Mercaldo

Publication date: 23 April 2010

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/journal.php?jrn=rlm

zbMATH Keywords

uniquenessrearrangementsnonlinear elliptic equationscontinuous dependence on the data

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Weak solutions to PDEs (35D30) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (6)

Comparison principle for some classes of nonlinear elliptic equations ⋮ Lipschitz properties in variable exponent problems via relative rearrangement ⋮ Continuous dependence on the data for nonlinear elliptic equations with a lower order term ⋮ A remark on uniqueness of weak solutions for some classes of parabolic problems ⋮ A Priori Estimates and Comparison Principle for Some Nonlinear Elliptic Equations ⋮ Gradient estimates and comparison principle for some nonlinear elliptic equations

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