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. Also the definition of p-polyharmonic operators is new.
Multiplicity of solutions for p(x)-polyharmonic elliptic Kirchhoff equations
PUCCI, Patrizia
2011
Abstract
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. Also the definition of p-polyharmonic operators is new.File in questo prodotto:
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