Weak solutions for the p-Laplacian with a nonlinear boundary condition at resonance
Date
2003-03-13
Authors
Martinez, Sandra
Rossi, Julio D.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We study the existence of weak solutions to the equation
Δpu = |u|p-2u + ƒ(x, u)
with the nonlinear boundary condition
|∇u|p-2 ∂u/ ∂v = λ|u|p-2 u-h(x, u).
We assume Landesman-Lazer type conditions and use variational arguments to prove the existence of solutions.
Description
Keywords
p-Laplacian, Nonlinear boundary conditions, Resonance
Citation
Martinez, S., & Rossi, J. D. (2003). Weak solutions for the p-Laplacian with a nonlinear boundary condition at resonance. <i>Electronic Journal of Differential Equations, 2003</i>(27), pp. 1-14.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.