We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
A new elliptic mixed boundary value problem with (p,q)-Laplacian and Clarke subdifferential: Existence, comparison and convergence results.
- Authors
Zeng, Shengda; Migórski, Stanisław; Tarzia, Domingo A.
- Abstract
The goal of this paper is to investigate a new class of elliptic mixed boundary value problems involving a nonlinear and nonhomogeneous partial differential operator (p , q) -Laplacian, and a multivalued term represented by Clarke's generalized gradient. First, we apply a surjectivity result for multivalued pseudomonotone operators to examine the existence of weak solutions under mild hypotheses. Then, a comparison theorem is delivered, and a convergence result, which reveals the asymptotic behavior of solution when the parameter (heat transfer coefficient) tends to infinity, is obtained. Finally, we establish a continuous dependence result of solution to the boundary value problem on the data.
- Subjects
LAPLACIAN operator; BOUNDARY value problems; NONLINEAR partial differential operators; NONLINEAR boundary value problems; HEAT transfer coefficient
- Publication
Analysis & Applications, 2022, Vol 20, Issue 4, p839
- ISSN
0219-5305
- Publication type
Article
- DOI
10.1142/S0219530521500287