A VARIATIONAL APPROACH FOR A BI-NON-LOCAL ELLIPTIC PROBLEM INVOLVING THE p(x)-LAPLACIAN AND NON-LINEARITY WITH NON-STANDARD GROWTH
Glasgow mathematical journal, Tome 56 (2014) no. 2, pp. 317-333

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

In this paper we are concerned with a class of p(x)-Kirchhoff equation where the non-linearity has non-standard growth and contains a bi-non-local term. We prove, by using variational methods (Mountain Pass Theorem and Ekeland Variational Principle), several results on the existence of positive solutions.
DOI : 10.1017/S001708951300027X
Mots-clés : 35J60, 35J70, 58E05
CORRÊA, FRANCISCO JULIO S. A.; COSTA, AUGUSTO CÉSAR DOS REIS. A VARIATIONAL APPROACH FOR A BI-NON-LOCAL ELLIPTIC PROBLEM INVOLVING THE p(x)-LAPLACIAN AND NON-LINEARITY WITH NON-STANDARD GROWTH. Glasgow mathematical journal, Tome 56 (2014) no. 2, pp. 317-333. doi: 10.1017/S001708951300027X
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