Infinitely many solutions for mixed Dirichlet-Neumann problems driven by the (p,q)-laplace operator | Zendy

Francesca Vetro | Zendy

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Infinitely many solutions for mixed Dirichlet-Neumann problems driven by the (p,q)-laplace operator

Author(s) -

Francesca Vetro

Publication year - 2019

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1914603v

Subject(s) - mathematics , operator (biology) , laplace's equation , laplace operator , boundary value problem , neumann boundary condition , dirichlet distribution , mathematical analysis , p laplacian , laplace transform , semi elliptic operator , infinity , pure mathematics , differential operator , biochemistry , chemistry , repressor , transcription factor , gene

We study a nonlinear problem with mixed Dirichlet-Neumann boundary conditions involving the p-Laplace operator and the q-Laplace operator ((p,q)-Laplace operator). Using variational tools and appropriate hypotheses on the behavior either at infinity or at zero of the reaction term, we prove that such a problem has infinitely many solutions.

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