Article Title

Mixed boundary value problem for a class of quasi-linear elliptic operators containing $p$-Laplacian

Authors

JUNICHI ARAMAKI

DOI

10.3906/mat-2003-75

Abstract

In this paper, we consider a mixed boundary value problem to a class of quasi-linear elliptic operators containing a $p$-Laplace operator. We show the existence of a unique weak solution and an estimate. We also demonstrate the continuity of the solution on the given data. Moreover, we consider the dual problem.

Keywords

Mixed boundary value problem, $p$-Laplacian, existence of a weak solution, variational method, continuous dependence of solution, dual problem

First Page

2259

Last Page

2275

Recommended Citation

ARAMAKI, JUNICHI (2020) "Mixed boundary value problem for a class of quasi-linear elliptic operators containing $p$-Laplacian," Turkish Journal of Mathematics: Vol. 44: No. 6, Article 20. https://doi.org/10.3906/mat-2003-75
Available at: https://journals.tubitak.gov.tr/math/vol44/iss6/20