Turkish Journal of Mathematics
Mixed boundary value problem for a class of quasi-linear elliptic operators containing $p$-Laplacian
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.
DOI
10.3906/mat-2003-75
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, J (2020). Mixed boundary value problem for a class of quasi-linear elliptic operators containing $p$-Laplacian. Turkish Journal of Mathematics 44 (6): 2259-2275. https://doi.org/10.3906/mat-2003-75
