Yunru Bai
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.
Submitted December 8, 2017. Published May 2, 2018.
Math Subject Classifications: 35J92, 35P30.
Key Words: Nonhomogeneous p-Laplacian operator; nonlinear regularity;
Dirichlet boundary condition; convection term;
truncation; Leray-Schauder alternative.
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| Yunru Bai Jagiellonian University Faculty of Mathematics and Computer Science ul. Lojasiewicza 6, 30-348 Krakow, Poland email: yunrubai@163.com |
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