Existence of bounded solutions of Neumann problem for a nonlinear degenerate elliptic equation

Date
2017-10-31
Authors
Bonafede, Salvatore
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We prove the existence of bounded solutions of Neumann problem for nonlinear degenerate elliptic equations of second order in divergence form. We also study some properties as the Phragmen-Lindelof property and the asymptotic behavior of the solutions of Dirichlet problem associated to our equation in an unbounded domain.
Description
Keywords
Degenerate elliptic equations, Neumann problem, Phragmen-Lindelof theorem, Asymptotic behavior
Citation
Bonafede, S. (2017). Existence of bounded solutions of Neumann problem for a nonlinear degenerate elliptic equation. <i>Electronic Journal of Differential Equations, 2017</i>(270), pp. 1-21.