Premium
Three solutions to mixed boundary value problem driven by p ( z ) ‐Laplace operator
Author(s) -
Vetro Calogero,
Vetro Francesca
Publication year - 2021
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201900123
Subject(s) - mathematics , operator (biology) , boundary value problem , laplace's equation , laplace operator , dirichlet distribution , mathematical analysis , neumann boundary condition , elliptic boundary value problem , principal part , mixed boundary condition , laplace transform , dirichlet boundary condition , dirichlet problem , biochemistry , chemistry , repressor , transcription factor , gene
We prove the existence of at least three weak solutions to a mixed Dirichlet–Neumann boundary value problem for equations driven by the p ( z ) ‐Laplace operator in the principal part. Our approach is variational and use three critical points theorems.