Existence of solutions to nonhomogeneous Dirichlet problems with dependence on the gradient

Date

2018-05-02

Authors

Bai, Yunru

Journal Title

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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. <i>Electronic Journal of Differential Equations, 2018</i>(101), pp. 1-18.

Rights

Attribution 4.0 International

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