Nontrivial solutions of equations with potential operators

DOI10.1007/BF00968464zbMath0487.47040OpenAlexW2064104029MaRDI QIDQ1165454

V. S. Klimov

Publication date: 1980

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00968464

zbMATH Keywords

pseudo-monotone operatorGateaux derivativeboundary value problems in Orlicz-Sobolev spacesequations with potential operators

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Equations involving nonlinear operators (general) (47J05)

Related Items (3)

Topological characteristics of extremals of variational problems ⋮ Variational inequalities with strong nonlinearities ⋮ Eigenvectors of nonlinear potential operators

Cites Work

• The problem of a point source in an inhomogeneous medium
• Dual variational methods in critical point theory and applications
• Lusternik-Schnirelman theory on Banach manifolds
• A minimum-maximum principle for a class of non-linear integral equations
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