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Mountain pass solutions to equations of p-Laplacian type

✍ Scribed by Pablo De Nápoli; Marı́a Cristina Mariani

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
146 KB
Volume
54
Category
Article
ISSN
0362-546X

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✦ Synopsis

This work is devoted to study the existence of solutions to equations of p-Laplacian type. We prove the existence of at least one solution, and under further assumptions, the existence of inÿnitely many solutions. In order to apply mountain pass results, we introduce a notion of uniformly convex functional that generalizes the notion of uniformly convex norm.

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