Solvability of Semilinear Equations with Compact Perturbations of Operators of Monotone Type

DOI10.2307/2160369zbMath0812.47064OpenAlexW4245627277MaRDI QIDQ4299230

Zhengyuan Guan

Publication date: 9 May 1995

Full work available at URL: https://doi.org/10.2307/2160369

zbMATH Keywords

monotonicitySchauder basissolvabilityreflexive Banach spacecompactnessdual space

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05)

Related Items (4)

New results in the perturbation theory of maximal monotone and $M$-accretive operators in Banach spaces ⋮ On the perturbation theory of $m$-accretive operators in Banach spaces ⋮ Remarks on perturbation theory of maximal monotone and \(m\)-accretive operators in Banach spaces ⋮ On the connection between the existence of zeros and the asymptotic behavior of resolvents of maximal monotone operators in reflexive Banach spaces

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• Fixed point theory and nonlinear problems
• Solvability of semilinear equations with strong nonlinearities and applications to elliptic problems
• Solvability of nonlinear perturbations of linear operator equations with parameters
• Existence of solutions by the gaierkin method for a class of nonlinear problems

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