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, STANISLAW; TARZIA, DOMINGO A.
Revista:
ANALYSIS AND APPLICATIONS
Editorial:
WORLD SCIENTIFIC PUBL CO PTE LTD
Referencias:
Año: 2021 vol. 20 p. 1 - 20
ISSN:
0219-5305
Resumen:
The goal of this paper is to investigate a new class of elliptic mixed boundaryvalue 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 theoremis delivered, and a convergence result, which reveals the asymptotic behavior of solutionwhen the parameter (heat transfer coefficient) tends to infinity, is obtained. Finally, weestablish a continuous dependence result of solution to the boundary value problem onthe data
