Asymptotically linear and superlinear elliptic equations with gradient terms
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Date
2020-09-23
Authors
Wei, Yuanhong
Tian, Jian
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Positive solution, Nonlinearity, Gradient term, Iterative method, Mountain pass theorem
Citation
Wei, Y., & Tian, J. (2020). Asymptotically linear and superlinear elliptic equations with gradient terms. <i>Electronic Journal of Differential Equations, 2020</i>(99), pp. 1-14.
Rights
Attribution 4.0 International