Three solutions for a class of quasilinear elliptic equation involving the  p  −  q ‐Laplace operator | Zendy

Yin Honghui | Zendy; Wen Jing | Zendy

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Three solutions for a class of quasilinear elliptic equation involving the p − q ‐Laplace operator

Author(s) -

Yin Honghui,

Wen Jing

Publication year - 2014

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.2805

Subject(s) - mathematics , laplace's equation , laplace operator , operator (biology) , class (philosophy) , semi elliptic operator , boundary value problem , elliptic curve , p laplacian , mathematical analysis , dirichlet boundary condition , dirichlet problem , elliptic operator , dirichlet distribution , pure mathematics , differential operator , biochemistry , chemistry , repressor , artificial intelligence , computer science , transcription factor , gene

The existence of at least three weak solutions is established for a class of quasilinear elliptic equation involving the p − q ‐Laplace operator with Dirichlet boundary condition. The technical approach is mainly on the basis of a three critical points theorem due to Ricceri. Copyright © 2013 John Wiley & Sons, Ltd.

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