Nonlinear elliptic equations and operators of type L∗Ф ∘ L

DOI10.1016/0362-546X(82)90052-9zbMath0494.47032OpenAlexW2072253871MaRDI QIDQ3957508

Juergen Weyer

Publication date: 1982

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(82)90052-9

zbMATH Keywords

Dirichlet boundary conditionsmaximal monotone operatorparabolic equationstrong solutionnonlinear elliptic equation

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) General theory of partial differential operators (47F05)

Related Items (4)

Regular solutions of wave equations containing nonlinearities of the type L Φ L ⋮ Maximal monotonicity and bifurcation from the continuous spectrum ⋮ Picard iterates for positive solutions of a class of nonlinear eigenvalue problems ⋮ On the positive solutions of some nonlinear diffusion problems

Cites Work

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• Monotone (nonlinear) operators in Hilbert space
• A necessary and sufficient condition for the existence of an interface in flows through porous media
• On a class of similarity solutions of the porous media equation. II
• Über maximale Monotonie von Operatoren des Typs L*Phi verknüpft mit L
• Nonlinear maximal monotone operators in Banach space
• Local boundedness of nonlinear, monotone operators
• On the Maximality of Sums of Nonlinear Monotone Operators

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