Nonlinear equations in Hilbert space.
Lavrent'ev, I.M., Šćepanović, R. (1986)
Publications de l'Institut Mathématique. Nouvelle Série
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Lavrent'ev, I.M., Šćepanović, R. (1986)
Publications de l'Institut Mathématique. Nouvelle Série
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H. Brézis, L. Nirenberg (1978)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Juan J. Nieto (1990)
Commentationes Mathematicae Universitatis Carolinae
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A. G. Ramm (2009)
Annales Polonici Mathematici
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A simple proof is given of a basic surjectivity result for monotone operators. The proof is based on the dynamical systems method (DSM).
Teodorescu, Dinu (2003)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Dario Bambusi (2000)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Bogdan Przeradzki (1996)
Annales Polonici Mathematici
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The existence of at least two solutions for nonlinear equations close to semilinear equations at resonance is obtained by the degree theory methods. The same equations have no solutions if one slightly changes the right-hand side. The abstract result is applied to boundary value problems with specific nonlinearities.
Lamberto Cesari, Heinz W. Engl (1981)
Czechoslovak Mathematical Journal
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