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Multiple Nontrivial Solutions for a Class of p-Laplacian Equations

✍ Scribed by Lei Wei; Mingxin Wang; Jiang Zhu

Publisher
Springer Netherlands
Year
2009
Tongue
English
Weight
395 KB
Volume
110
Category
Article
ISSN
0167-8019

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## Abstract We consider a class of elliptic inclusions under Dirichlet boundary conditions involving multifunctions of Clarke's generalized gradient. Under conditions given in terms of the first eigenvalue as well as the Fučik spectrum of the __p__ ‐Laplacian we prove the existence of a positive, a