Existence of Solutions to a Superlinear p-Laplacian Equation

Date

2001-10-11

Authors

Liu, Shibo

Journal Title

Journal ISSN

Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

Abstract

Using Morse theory, we establish the existence of solutions to the equation -∆pu = ƒ(x, u) with Dirichlet boundary conditions. We assume that ∫s0 ƒ(x, t) dt lies between the first two eigenvalues of the p-Laplacian.

Description

Keywords

p-Laplacian, Critical group

Citation

Liu, S. (2001). Existence of solutions to a superlinear p-Laplacian equation. <i>Electronic Journal of Differential Equations, 2001</i>(66), pp. 1-6.

Rights

Attribution 4.0 International

Rights Holder

Rights License