Gradient bounds for anisotropic partial differential equations
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Publication:2445464
DOI10.1007/s00526-013-0605-9zbMath1288.35131OpenAlexW2047008332MaRDI 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
A priori estimates in context of PDEs (35B45) Variational methods for second-order elliptic equations (35J20)
Related Items (16)
Series expansion of weighted Finsler-Kato-Hardy inequalities ⋮ Maximum principles, Liouville-type theorems and symmetry results for a general class of quasilinear anisotropic equations ⋮ Gradient estimates via two-point functions for elliptic equations on manifolds ⋮ Gradient bounds and rigidity results for singular, degenerate, anisotropic partial differential equations ⋮ Uniqueness of nonnegative solutions to elliptic differential inequalities on Finsler manifolds ⋮ Multi-point Maximum Principles and Eigenvalue Estimates ⋮ Pointwise gradient bounds for entire solutions of elliptic equations with non-standard growth conditions and general nonlinearities ⋮ An overdetermined problem for the anisotropic capacity ⋮ Partial regularity for weak solutions of anisotropic Lane-Emden equation ⋮ The Pohozaev identity for the anisotropic \(p\)-Laplacian and estimates of the torsion function ⋮ Comparison principles for infinity-Laplace equations in Finsler metrics ⋮ Partial regularity and Liouville theorems for stable solutions of anisotropic elliptic equations ⋮ A free boundary problem with multiple boundaries for a general class of anisotropic equations ⋮ Harnack inequality and an asymptotic mean-value property for the Finsler infinity-Laplacian ⋮ Extremal solution and Liouville theorem for anisotropic elliptic equations ⋮ Monotonicity formulae and classification results for singular, degenerate, anisotropic PDEs
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