Second-order elliptic differential inequalities in Banach spaces.

DOI10.1016/S0362-546X(03)00028-2zbMath1114.35073OpenAlexW2047669078MaRDI QIDQ1870899

Gerd Herzog, Roland Lemmert

Publication date: 14 May 2003

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

Full work available at URL: https://doi.org/10.1016/s0362-546x(03)00028-2

zbMATH Keywords

problemsDirichlet boundary valueElliptic differential inequalitiesQuasimonotonicityZaremba solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Differential equations in abstract spaces (34G99)

Related Items (1)

Symmetry of solutions for quasimonotone second-order elliptic systems in ordered Banach spaces

Cites Work

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• Theory and applications of partial differential equations
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• Gewöhnliche Differentialungleichungen mit quasimonoton wachsenden Funktionen in topologischen Vektorräumen. (Ordinary differential equations with quasi-monotone increasing functions in topological vector spaces)
• Die Erste Randwertaufgabe für Δu = f(x, u) in B<scp>ANACH</scp>‐Räumen
• Nonlinear elliptic boundary-value problems in unbounded domains
• Ober die invaritanz konvexer teilmengen eines normierten raumes in bezug auf ellipische differentaialaleichungen
• One-sided estimates for linear quasimonotone increasing operators

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