INV SUPERIOR JUBILADO
TARZIA domingo alberto
artículos
Título:
Existence, comparison, and convergence results for a class of elliptic hemivariational inequalities
Autor/es:
C. M. GARIBOLDI; M. MIGÓRSKI; D.A. TARZIA
Revista:
APPLIED MATHEMATICS AND OPTIMIZATION
Editorial:
SPRINGER
Referencias:
Lugar: Berlin; Año: 2021 vol. 84 p. 1451 - 1475
ISSN:
0095-4616
Resumen:
In this paper we study a class of elliptic boundary hemivariational inequalities which originates in the steady-state heat conduction problem with nonmonotone multivalued subdifferential boundary condition on a portion of the boundary described by the Clarke generalized gradient of a locally Lipschitz function. First, we prove a new existence result for the inequality employing the theory of pseudomonotone operators. Next, we give a result on comparison of solutions, and provide sufficient conditions that guarantee the asymptotic behavior of solution, when the heat transfer coefficient tends to infinity. Further, we show a result on the continuous dependence of solution on the internal energy and heat flux. Finally, some examples of convex and nonconvex potentials illustrate our hypotheses.