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http://dx.doi.org/10.22771/nfaa.2021.26.03.06

EXISTENCE OF THREE WEAK SOLUTIONS FOR A CLASS OF NONLINEAR OPERATORS INVOLVING p(x)-LAPLACIAN WITH MIXED BOUNDARY CONDITIONS

Aramaki, Junichi (Division of Science, Faculty of Science and Engineering Tokyo Denki University)

Publication Information

Nonlinear Functional Analysis and Applications / v.26, no.3, 2021 , pp. 531-551 More about this Journal

Abstract

In this paper, we consider a mixed boundary value problem to a class of nonlinear operators containing p(x)-Laplacian. More precisely, we consider the problem with the Dirichlet condition on a part of the boundary and the Steklov boundary condition on an another part of the boundary. We show the existence of at least three weak solutions under some hypotheses on given functions and the values of parameters.

Keywords

p(x)-Laplacian type equation; variational method; mixed boundary value problem;

Citations & Related Records

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