ON MINIMIZATION OF A NON-CONVEX FUNCTIONAL IN VARIABLE EXPONENT SPACES
2014 ◽
Vol 25
(01)
◽
pp. 1450011
◽
Keyword(s):
We study the existence of minimizers of a regularized non-convex functional in the context of variable exponent Sobolev spaces by application of the direct method in the calculus of variations. The results are new even in the framework of classical Lebesgue spaces.
2006 ◽
Vol 36
(0)
◽
pp. 79-94
◽
Keyword(s):
2011 ◽
Vol 56
(7-9)
◽
pp. 715-753
◽
Keyword(s):
2021 ◽
Vol 7
(1)
◽
pp. 50-65