On variational nonlinear equations with monotone operators
Abstract: Using monotonicity methods and some variational argument we consider nonlinear problems which involve monotone potential mappings satisfying condition (S) and their strongly continuous perturbations. We investigate when functional whose minimum is obtained by a direct method of the calculus of variations satisfies the Palais-Smale condition, relate minimizing sequence and Galerkin approximaitons when both exist, then provide structure conditions on the derivative of the action functional under which bounded Palais-Smale sequences are convergent. Finally, we make some comment concerning the convergence of Palais-Smale sequence obtained in the mountain pass theorem due to Rabier.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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On variational nonlinear equations with monotone operators ; volume:10 ; number:1 ; year:2020 ; pages:289-300 ; extent:12
Advances in nonlinear analysis ; 10, Heft 1 (2020), 289-300 (gesamt 12)
- Creator
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Galewski, Marek
- DOI
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10.1515/anona-2020-0102
- URN
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urn:nbn:de:101:1-2405021558574.681565585440
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 10:45 AM CEST
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Associated
- Galewski, Marek
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