Gradient bounds for anisotropic partial differential equations

DOI10.1007/S00526-013-0605-9zbMATH Open1288.35131OpenAlexW2047008332MaRDI QIDQ2445464

Enrico Valdinoci, Alberto Farina

Publication date: 14 April 2014

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-013-0605-9

zbMATH Keywords

rigidity resultsanisotropic Laplacianpointwise energy bound

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Variational methods for second-order elliptic equations (35J20)

Cites Work

• Unnamed Item
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• Overdetermined anisotropic elliptic problems
• Maximum principles and their applications
• Regularity for a more general class of quasilinear equations
• Some remarks on maximum principles
• Convex symmetrization and applications
• Properties of entire solutions of non-uniformly elliptic equations arising in geometry and in phase transitions.
• A pointwise gradient estimate for solutions of singular and degenerate PDE's in possibly unbounded domains with nonnegative mean curvature
• A pointwise gradient estimate in possibly unbounded domains with nonnegative mean curvature
• Linear and quasilinear elliptic equations
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• A gradient bound and a liouville theorem for nonlinear poisson equations
• A uniqueness proof for the Wulff Theorem
• Elliptic Partial Differential Equations of Second Order
• Crystalline variational problems
• A gradient bound for entire solutions of quasi‐linear equations and its consequences

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