Open AccessInfinitely 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.