Electron. J. Diff. Eqns., Vol. 2006(2006), No. 132, pp. 1-12.

A note on strong resonance problems for p-Laplacian

Chunhua Jin, Yuanyuan Ke, Jingxue Yin

Abstract:
In this note, we study the existence of the weak solutions for the p-Laplacian with strong resonance, which generalizes the previous results in one-dimension.

Submitted March 21, 2006. Published October 17, 2006.
Math Subject Classifications: 35G30, 35A15, 35B38.
Key Words: p-Laplacian equations; boundary value problem; eigenvalue; strong resonance problems.

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Chunhua Jin
Department of Applied Mathematics
Jilin University, Changchun 130012, China
email: diffusion@jlu.edu.cn
Yuanyuan Ke
Department of Mathematics, Sun Yat-Sen University
Guangzhou 510275, China.
Department of Applied Mathematics, Jilin University
Changchun 130012, China
email: keyy@jlu.edu.cn (corresponding author)
Jingxue Yin
Department of Applied Mathematics
Jilin University, Changchun 130012, China
email: yjx@jlu.edu.cn

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