Maximum principles for some quasilinear elliptic systems

DOI10.1016/j.na.2018.11.004zbMath1435.35096OpenAlexW2903594570WikidataQ128829545 ScholiaQ128829545MaRDI QIDQ2309733

Eugénio M. Rocha, Cristina Pignotti, Vasile Staicu, Salvatore Leonardi, Francesco Leonetti

Publication date: 1 April 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10773/25838

zbMATH Keywords

support of off-diagonal systems, \(r\)-staircase support

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Regularity of solutions in optimal control (49N60) Second-order elliptic systems (35J47) Quasilinear elliptic equations (35J62)

Related Items (15)

Existence of Hölder continuous solutions for a class of degenerate fourth-order elliptic equations ⋮ Morrey estimates for a class of elliptic equations with drift term ⋮ Local boundedness for weak solutions to some quasilinear elliptic systems ⋮ Existence of solutions to some quasilinear degenerate elliptic systems when the datum has an intermediate degree of integrability ⋮ Anisotropic nonlinear elliptic system with degenerate coercivity and L^m data ⋮ Local boundedness under nonstandard growth conditions ⋮ Unnamed Item ⋮ Existence of solutions to some quasilinear degenerate elliptic systems with right hand side in a Marcinkiewicz space ⋮ Global integrability for solutions to quasilinear elliptic systems ⋮ Morrey estimates for a class of noncoercive elliptic systems with VMO-coefficients ⋮ Bounded solutions of fourth-order nonlinear elliptic equations with convection terms ⋮ Generalizations of Stampacchia Lemma and applications to quasilinear elliptic systems ⋮ On the existence of weak solutions to a class of nonlinear elliptic systems with drift term ⋮ On the existence of weak solutions to a class of nonlinear elliptic systems with drift term ⋮ Butterfly support for off diagonal coefficients and boundedness of solutions to quasilinear elliptic systems

Cites Work

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• Singularities of minima: a walk on the wild side of the calculus of variations
• Regularity for solutions to some nonlinear elliptic systems
• On Constants of Some Regularity Theorems. De Giorgi's Type Counterexample
• Boundedness and integrability properties of weak solutions of quasilinear elliptic systems.
• Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder

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