Existence results for quasilinear problems via ordered sub and supersolutions

DOI10.5802/afst.880zbMath0910.35055OpenAlexW2089744700MaRDI QIDQ1130244

Mabel Cuesta Leon

Publication date: 8 November 1998

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1997_6_6_4_591_0

zbMATH Keywords

\(p\)-Laplacianexistence of maximal and minimal solutionsgeneralization of Kato's inequalityweak sub- and supersolutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Maximum principles in context of PDEs (35B50) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

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Cites Work

• On the existence of a maximal weak solution for a semilinear elliptic equation
• The weak supersolution-subsolution method for second order quasilinear elliptic equations
• Existence of a maximal solution for quasimonotone elliptic systems
• Schrödinger operators with singular potentials
• On The Dirichletproblem for Quasilinear Equations
• 3.—A Criterion for the Existence of Solutions of Non-linear Elliptic Boundary Value Problems
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
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