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Critical groups at infinity for p-Laplacian equations with indefinite nonlinearities

✍ Scribed by Ming-Zheng Sun; Shu-Mao Liu


Book ID
108178606
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
208 KB
Volume
365
Category
Article
ISSN
0022-247X

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In this paper, using Mountain Pass Lemma and Linking Argument, we prove the existence of nontrivial weak solutions for the Dirichlet problem of the superlinear p-Laplacian equation with indeÿnite weights in the case where the eigenvalue parameter ∈ (0; 2), 2 is the second positive eigenvalue of the