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- Title
EXISTENCE OF SOLUTIONS TO NONHOMOGENEOUS DIRICHLET PROBLEMS WITH DEPENDENCE ON THE GRADIENT.
- Authors
BAI, YUNRU
- 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 the reaction 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.
- Subjects
ELLIPTIC equations; NONLINEAR partial differential operators; DIRICHLET problem; BOUNDARY value problems; DIFFERENTIAL equations
- Publication
Electronic Journal of Differential Equations, 2018, Vol 2018, Issue 101-157, p1
- ISSN
1550-6150
- Publication type
Article