Multiple solutions to a Neumann problem with equi-diffusive reaction term | Zendy

Giuseppina D’Aguì | Zendy; S. Marano | Zendy; Nikolaos S. Papageorgiou | Zendy

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Multiple solutions to a Neumann problem with equi-diffusive reaction term

Author(s) -

Giuseppina D’Aguì,

S. Marano,

Nikolaos S. Papageorgiou

Publication year - 2011

Publication title -

discrete and continuous dynamical systems - s

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 34

eISSN - 1937-1632

pISSN - 1937-1179

DOI - 10.3934/dcdss.2012.5.765

Subject(s) - neumann boundary condition , term (time) , mathematical proof , mathematics , morse theory , boundary value problem , sign (mathematics) , von neumann architecture , boundary (topology) , mathematical analysis , pure mathematics , physics , geometry , quantum mechanics

The existence of four solutions, one negative, one positive, and two sign-changing (namely, nodal), for a Neumann boundary-value problem with right-hand side depending on a positive parameter is established. Proofs make use of sub- and super-solution techniques as well as Morse theory

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