Existence of solutions to nonhomogeneous Dirichlet problems with dependence on the gradient
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Date
2018-05-02
Authors
Bai, Yunru
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
The goal of this article is to explore the existence of positive solutions for a nonlinear elliptic equation driven by a nonhomogeneous partial differential operator with Dirichlet boundary condition. This equation a convection term and thereaction term is not required to satisfy global growth conditions. Our approach is based on the Leray-Schauder alternative principle, truncation and comparison approaches, and nonlinear regularity theory.
Description
Keywords
Nonhomogeneous p-Laplacian operator, Nonlinear regularity, Dirichlet boundary condition, Convection term, Truncation, Leray-Schauder alternative
Citation
Bai, Y. (2018). Existence of solutions to nonhomogeneous Dirichlet problems with dependence on the gradient. Electronic Journal of Differential Equations, 2018(101), pp. 1-18.
Rights
Attribution 4.0 International