School of Mathematics
Jilin University
130012, Changchun, China
email: weiyuanhong@jlu.edu.cn
School of Mathematics
Jilin University
130012, Changchun, China
email: tianjian@jlu.edu.cn
Yuanhong Wei, Jian Tian
Abstract:
In this article we establish the existence of solutions for elliptic problem involving
a gradient term. To handle the so-called non-variational problem, we use a
variational methods. We assume that the nonlinear term satisfies an asymptotically
linear growth condition or a superlinear growth condition. We show the existence of
at least one positive solution and one negative solution.
Submitted March 9, 2020. Published September 23, 2020.
Math Subject Classifications: 35B09, 35J20, 35A01.
Key Words: Positive solution; nonlinearity; gradient term; iterative method;
mountain pass theorem.
DOI: 10.58997/ejde.2020.99
Show me the PDF file (352 KB), TEX file for this article.
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Yuanhong Wei School of Mathematics Jilin University 130012, Changchun, China email: weiyuanhong@jlu.edu.cn |
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Jian Tian School of Mathematics Jilin University 130012, Changchun, China email: tianjian@jlu.edu.cn |
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