Weak solutions for a (p(z),q(z))-Laplacian Dirichlet problem
نویسندگان
چکیده
منابع مشابه
Existence of weak solutions for a p-Laplacian problem involving Dirichlet boundary condition
Keywords: Dirichlet boundary value problem p-Laplacian Topological degree theory Critical point theory Weak solution a b s t r a c t In this work, by virtue of topological degree theory and critical point theory, we are mainly concerned with the existence of weak solutions for a Dirichlet boundary value problem with the p-Laplacian operator.
متن کاملSimultaneous Solutions of the Weak Dirichlet Problem
The main aim of this paper is a geometrical approach to simultaneous solutions of the abstract weak Dirichlet problem. We answer partially a question from the paper 2] where a similar problem was discussed from a potential-theoretical point of view for the case of function spaces consisting of harmonic functions.
متن کاملexistence of three solutions for the dirichlet problem involving the p-laplacian and minimax inequality for relevant functionals
in this paper, we establish some results on the existence of at least three weak solutions for adirichlet problem involving p-laplacian using a variational approach.
متن کاملMULTIPLE SOLUTIONS FOR A DIRICHLET PROBLEM WITH p-LAPLACIAN AND SET-VALUED NONLINEARITY
The existence of a negative solution, of a positive solution, and of a sign-changing solution to a Dirichlet eigenvalue problem with p-Laplacian and multi-valued nonlinearity is investigated via suband supersolution methods as well as variational techniques for nonsmooth functions. 2000 Mathematics subject classification: 35J20, 35J85, 49J40.
متن کاملExistence and nonexistence of solutions for a singular p-Laplacian Dirichlet problem
We study the existence of positive radially symmetric solution for the singular pLaplacian Dirichlet problem, − △p u = λ|u| p−2u − γu where λ > 0, γ > 0 and, 0 < α < 1, are parameters and Ω, the domain of the equation, is a ball in R . By using some variational methods we show that, if λ is contained in some interval, then the problem has a radially symmetric positive solution on the ball. More...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Filomat
سال: 2020
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil2003999n