Strong resonance problems for the one-dimensional p-Laplacian

Date

2005-01-05

Authors

Bouchala, Jiri

Journal Title

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Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

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 sufficiency conditions generalize the results published previously about the solvability of this problem.

Description

Keywords

p-Laplacian, Resonance at the eigenvalues, Landesman-Lazer type conditions

Citation

Bouchala, J. (2005). Strong resonance problems for the one-dimensional p-Laplacian. <i>Electronic Journal of Differential Equations, 2005</i>(08), pp. 1-10.

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Attribution 4.0 International

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