Archivio Istituzionale della RicercaExistence and nonexistence results for positive solutions to a linearly perturbed critical growth biharmonic problem under Steklov boundary conditions, are determined. Furthermore, by investigating the critical dimensions for this problem, a Sobolev inequality with remainder terms, of both interior and boundary type, is deduced.
Positive solutions to a linearly perturbed critical growth biharmonic problem / Berchio, Elvise; F., Gazzola. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S. - ISSN 1937-1632. - (2011), pp. 809-823. (Intervento presentato al convegno 1st Italian-Japanese workshop on geometric properties for parabolic and elliptic PDE's tenutosi a Sendai, Giappone) [10.3934/dcdss.2011.4.809].
Positive solutions to a linearly perturbed critical growth biharmonic problem
BERCHIO, ELVISE;
2011
Abstract
Existence and nonexistence results for positive solutions to a linearly perturbed critical growth biharmonic problem under Steklov boundary conditions, are determined. Furthermore, by investigating the critical dimensions for this problem, a Sobolev inequality with remainder terms, of both interior and boundary type, is deduced.
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https://hdl.handle.net/11583/2522490
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