Multiplicity of nontrivial solutions to a biharmonic equation via Lusternik–Schnirelman theory |
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| Authors: | Claudianor O. Alves Giovany M. Figueiredo |
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| Affiliation: | 1. Departamento de Matemática e Estatística, Universidade Federal de Campina Grande CEP: 58429‐900, , Campina Grande, Pb, Brazil;2. Faculdade de Matemática, Universidade Federal do Pará CEP: 66075‐110, , Belém, Pa, Brazil |
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| Abstract: | In this paper, we are concerned with the multiplicity of nontrivial solutions for the following class of biharmonic problem ![urn:x-wiley:01704214:media:mma2618:mma2618-math-0001]( "urn:x-wiley:01704214:media:mma2618:mma2618-math-0001") where  is a bounded domain with smooth boundary. Using the Lusternik–Schnirelman theory, we relate the number of solutions with the topology of Ω. Copyright © 2012 John Wiley & Sons, Ltd. |
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| Keywords: | biharmonic problem Ljusternik– Schnirelmann theory |
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