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Zbl 1173.35473
Halidias, Nikolaos; Le, Vy K.
Multiple solutions for quasilinear elliptic Neumann problems in Orlicz-Sobolev spaces.
(English)
[J] Bound. Value Probl. 2005, No. 3, 299-306 (2005). ISSN 1687-2770/e

Summary: We investigate the existence of multiple solutions to quasilinear elliptic problems containing Laplace like operators ($\phi$-Laplacians). We are interested in Neumann boundary value problems and our main tool is Brézis-Nirenberg's local linking theorem [{\it H. Brézis} and {\it L. Nirenberg} [Commun. Pure Appl. Math. 44, No. 8--9, 939--963 (1991; Zbl 0751.58006)].
MSC 2000:
*35J60 Nonlinear elliptic equations
35J20 Second order elliptic equations, variational methods
35J25 Second order elliptic equations, boundary value problems

Citations: Zbl 0751.58006

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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