Geodesic
A MULTIPLICITY THEOREM FOR A VARIABLE EXPONENT DIRICHLET PROBLEM
Glasgow mathematical journal, Tome 50 (2008) no. 2, pp. 335-349

Voir la notice de l'article provenant de la source Cambridge University Press

We consider a nonlinear Dirichlet problem driven by the p(ċ)-Laplacian. Using variational methods based on the critical point theory, together with suitable truncation techniques and the use of upper-lower solutions and of critical groups, we show that the problem has at least three nontrivial solutions, two of which have constant sign (one positive, the other negative). The hypotheses on the nonlinearity incorporates in our framework of analysis, both coercive and noncoercive problems.
DOI : 10.1017/S0017089508004242
Mots-clés : 35J60, 35J70, 58E05 
PAPAGEORGIOU, NIKOLAOS S.; ROCHA, EUGÉNIO M. A MULTIPLICITY THEOREM FOR A VARIABLE EXPONENT DIRICHLET PROBLEM. Glasgow mathematical journal, Tome 50 (2008) no. 2, pp. 335-349. doi: 10.1017/S0017089508004242
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