Multiplicity Results for Positive Solutions to Non-autonomous Elliptic Problems
Date
1999-09-09
Authors
Qiao, Ning
Wang, Zhi-Qiang
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We are concerned with the multiplicity of positive solutions for non-autonomous elliptic equations with Dirichlet and Neumann boundary conditions. Using Ljusternik-Schnirelmann theory, we show that the number of solutions is affected by the shape of the potential functions.
Description
Keywords
Multiplicity of solutions, Non-autonomous equations, Ljusternik-Schnirelmann category
Citation
Qiao, N., & Wang, Z.-Q. (1999). Multiplicity results for positive solutions to non-autonomous elliptic problems. <i>Electronic Journal of Differential Equations, 1999</i>(28), pp. 1-28.
Rights
Attribution 4.0 International