Extremal, Nodal and Stable Solutions for Nonlinear Elliptic Equations
Abstract: We consider Dirichlet p-Laplacian equations which may be resonant with respect to the principal eigenvalue at ±∞. We show the existence of extremal nontrivial constant sign solutions and of nodal solutions. In the semilinear case (p = 2) we produce additional nodal solutions. We show that certain parametric equations (eigenvalue problems) studied in the past, are a special case of our multiplicity theorem. Finally, we establish the stability of the extremal solutions.
- 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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Extremal, Nodal and Stable Solutions for Nonlinear Elliptic Equations ; volume:15 ; number:3 ; year:2015 ; pages:629-665 ; extent:37
Advanced nonlinear studies ; 15, Heft 3 (2015), 629-665 (gesamt 37)
- DOI
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10.1515/ans-2015-0306
- URN
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urn:nbn:de:101:1-2405031549578.436645636193
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 10:54 AM CEST
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