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Multiplicity of solutions for resonant Neumann problems with an indefinite and unbounded potentialPapageorgiou, Nikolaos, 1958- ; Rǎdulescu, Vicenţiu, 1958-We examine semilinear Neumann problems driven by the Laplacian plus an unbounded and indefinite potential. The reaction is a Carathéodory function which exhibits linear growth near ▫$\pm \infty$▫. We ... allow for resonance to occur with respect to a nonprincipal nonnegative eigenvalue, and we prove several multiplicity results. Our approach uses critical point theory, Morse theory and the reduction method (the Lyapunov-Schmidt method).Source: Transactions of the American Mathematical Society. - ISSN 0002-9947 (Vol. 367, no. 12, 2015, str. 8723-8756)Type of material - article, component part ; adult, seriousPublish date - 2015Language - englishCOBISS.SI-ID - 17474137
Author
Papageorgiou, Nikolaos, 1958- |
Rǎdulescu, Vicenţiu, 1958-
Topics
matematika |
parcialne diferencialne enačbe |
potencial |
resonanca |
kritične grupe |
regularnost |
indefinite and unbounded potential |
reduction method |
resonance |
unique continuation property |
regularity |
critical groups
source: Transactions of the American Mathematical Society. - ISSN 0002-9947 (Vol. 367, no. 12, 2015, str. 8723-8756)
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Papageorgiou, Nikolaos, 1958- | 38771 |
Rǎdulescu, Vicenţiu, 1958- | 29964 |
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