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