Resonance problems for p-Laplacian

Jiřı́ Bouchala

Mathematics and Computers in Simulation (MATCOM), 2003, vol. 61, issue 3, 599-604

Abstract: We study the existence of the weak solution of the nonlinear boundary value problem −(|u′|p−2u′)′=λ|u|p−2u+g(u)−h(x)in(0,π),u(0)=u(π)=0,where p and λ are real numbers, p>1, h∈Lp′(0,π)(p′=p/(p−1)) and the nonlinearity g:R→R is a continuous function of the Landesman–Lazer type. Our results generalize previously published results about the solvability of our problem.

Keywords: The p-Laplacian; Resonance at the eigenvalues; Landesman–Lazer type conditions (search for similar items in EconPapers)
Date: 2003
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