INV SUPERIOR JUBILADO
TARZIA Domingo Alberto
artículos
Título:
A new elliptic mixed boundary value problem with (p, q) -Laplacian and Clarke subdifferential: Existence, comparison and convergence results
Autor/es:
ZENG, SHENGDA; MIGÓRSKI, STANIS?AW; TARZIA, DOMINGO A.
Revista:
ANALYSIS AND APPLICATIONS
Editorial:
WORLD SCIENTIFIC PUBL CO PTE LTD
Referencias:
Año: 2022 vol. 20 p. 839 - 858
ISSN:
0219-5305
Resumen:
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.
