Martinez, SandraRossi, Julio D.2020-10-022020-10-022003-03-13Martinez, 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. 1-14.1072-6691https://hdl.handle.net/10877/12693We 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.Text14 pages1 file (.pdf)enAttribution 4.0 Internationalp-LaplacianNonlinear boundary conditionsResonanceWeak solutions for the p-Laplacian with a nonlinear boundary condition at resonanceArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.