Department of Mathematical and Computer Sciences
Physical Sciences and Earth Sciences
University of Messina
Viale F. Stagno d'Alcontres
31, 98166 Messina, Italy
email: lvilasi@unime.it
Luca Vilasi
Abstract:
Using variational techniques we prove an eigenvalue theorem for
a stationary p(x)-Kirchhoff problem, and provide an estimate for the
range of such eigenvalues. We employ a specific family of test functions
in variable-exponent Sobolev spaces. Our approach permits to handle both
non-degenerate and degenerate Kirchhoff coefficients.
Submitted April 22, 2016. Published July 12, 2016.
Math Subject Classifications: 35J20, 35J62.
Key Words: Kirchhoff equation; p(x)-Laplacian; multiplicity; eigenvalue.
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Luca Vilasi Department of Mathematical and Computer Sciences Physical Sciences and Earth Sciences University of Messina Viale F. Stagno d'Alcontres 31, 98166 Messina, Italy email: lvilasi@unime.it |
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