Weak solutions for the p-Laplacian with a nonlinear boundary condition at resonance

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martinez.pdf (234.11 KB)
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.
URI
https://hdl.handle.net/10877/12693
Collections
Electronic Journal of Differential Equations