We study the existence of the weak solution of the nonlinear boundary-value problem
where and are real numbers, , () and the nonlinearity is a continuous function of the Landesman-Lazer type. Our sufficiency conditions generalize the results published previously about the solvability of this problem.
Submitted June 21, 2004. Published January 5, 2005.
Math Subject Classifications: 34B15, 34L30, 47J30.
Key Words: p-Laplacian; resonance at the eigenvalues; Landesman-Lazer type conditions.
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| Jirí Bouchala |
Department of Applied Mathematics
VSB-Technical University Ostrava, Czech republic
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