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Multiple solutions for -harmonic type equations

✍ Scribed by Yinbin Deng; Huirong Pi

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
497 KB
Volume
71
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper, we establish the existence of multiple solutions for an equation involving a p-harmonic operator, subject to Dirichlet boundary conditions in a bounded smooth open domain of R N , while the nonlinearity has a (p-1)-sublinear growth at infinity. Using a three critical points theorem, we prove the existence of at least three distinct weak solutions in W 2,p 0 (Ω) to this problem.

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