Multiplicity of solutions for p ( x ) -polyharmonic elliptic Kirchhoff equations

In this paper we establish the existence of an unbounded sequence of solutions for a class of quasilinear elliptic p ( x ) -polyharmonic Kirchhoff equations, including the new delicate degenerate case, not yet covered in the literature. The main tool is the symmetric mountain pass theorem of Ambrose...

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Bibliographic Details
Published in:Nonlinear analysis 2011-12, Vol.74 (17), p.5962-5974
Main Authors: Colasuonno, Francesca, Pucci, Patrizia
Format: Article
Language:English
Subjects:
[formula omitted]-polyharmonic Kirchhoff equations
Algebra
Commutative rings and algebras
Covering
Exact sciences and technology
Existence of multiple solutions
Mathematical analysis
Mathematics
Mountains
Nonlinearity
Partial differential equations
Sciences and techniques of general use
Symmetric mountain pass theorems
Theorems
Online Access:Get full text
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Summary:In this paper we establish the existence of an unbounded sequence of solutions for a class of quasilinear elliptic p ( x ) -polyharmonic Kirchhoff equations, including the new delicate degenerate case, not yet covered in the literature. The main tool is the symmetric mountain pass theorem of Ambrosetti and Rabinowitz.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2011.05.073