POSITIVE SOLUTIONS AND MULTIPLE SOLUTIONS AT NON-RESONANCE, RESONANCE AND NEAR RESONANCE FOR HEMIVARIATIONAL INEQUALITIES WITH p-LAPLACIAN
POSITIVE SOLUTIONS AND MULTIPLE SOLUTIONS AT NON-RESONANCE, RESONANCE AND NEAR RESONANCE FOR HEMIVARIATIONAL INEQUALITIES WITH p-LAPLACIAN
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DOI：
10.1090/s0002-9947-07-04449-2
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发表时间：
2007-12
影响因子：
1.3
通讯作者：
D. Motreanu;V. Motreanu;Nikolaos S. Papageorgiou
中科院分区：
文献类型：
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作者：
D. Motreanu;V. Motreanu;Nikolaos S. Papageorgiou
在本文中，我们研究由 p-拉普拉斯微分算子驱动的半变分不等式的特征值问题。我们证明了在具有齐次狄利克雷边界条件的负 p-拉普拉斯算子的主特征值处，非共振和共振问题存在正光滑解。我们还从主特征值的左侧和右侧检查接近共振的问题。对于几乎从正确的问题产生的共鸣，我们还证明了多重性结果。
In this paper we study eigenvalue problems for hemivariational inequalities driven by the p-Laplacian differential operator. We prove the existence of positive smooth solutions for both non-resonant and resonant problems at the principal eigenvalue of the negative p-Laplacian with homogeneous Dirichlet boundary condition. We also examine problems which are near resonance both from the left and from the right of the principal eigenvalue. For nearly resonant from the right problems we also prove a multiplicity result.