Geodesic
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

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DOI

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
@article{10_1017_S001708951300027X,
     author = {CORR\^EA, FRANCISCO JULIO S. A. and COSTA, AUGUSTO C\'ESAR DOS REIS},
     title = {A {VARIATIONAL} {APPROACH} {FOR} {A} {BI-NON-LOCAL} {ELLIPTIC} {PROBLEM} {INVOLVING} {THE} {p(x)-LAPLACIAN} {AND} {NON-LINEARITY} {WITH} {NON-STANDARD} {GROWTH}},
     journal = {Glasgow mathematical journal},
     pages = {317--333},
     year = {2014},
     volume = {56},
     number = {2},
     doi = {10.1017/S001708951300027X},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708951300027X/}
}
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