Weak solutions for the p-Laplacian with a nonlinear boundary condition at resonance
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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.
CitationMartinez, S., & Rossi, J. D. (2003). Weak solutions for the p-Laplacian with a nonlinear boundary condition at resonance. Electronic Journal of Differential Equations, 2003(27), pp. 1-14.
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