A critical point result for non-differentiable indefinite functionals
Commentationes Mathematicae Universitatis Carolinae, Tome 45 (2004) no. 4, pp. 663-679
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In this paper, two deformation lemmas concerning a family of indefinite, non necessarily continuously differentiable functionals are proved. A critical point theorem, which extends the classical result of Benci-Rabinowitz [14, Theorem 5.29] to the above-mentioned setting, is then deduced.
Classification :
35A15, 47J30, 49J35, 49J52, 58E05
Keywords: locally Lipschitz continuous and indefinite functionals; deformation lemmas; critical point theorems
Keywords: locally Lipschitz continuous and indefinite functionals; deformation lemmas; critical point theorems
@article{CMUC_2004__45_4_a7,
author = {Marano, Salvatore A. and Motreanu, Dumitru},
title = {A critical point result for non-differentiable indefinite functionals},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {663--679},
publisher = {mathdoc},
volume = {45},
number = {4},
year = {2004},
mrnumber = {2103082},
zbl = {1107.49005},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2004__45_4_a7/}
}
TY - JOUR AU - Marano, Salvatore A. AU - Motreanu, Dumitru TI - A critical point result for non-differentiable indefinite functionals JO - Commentationes Mathematicae Universitatis Carolinae PY - 2004 SP - 663 EP - 679 VL - 45 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMUC_2004__45_4_a7/ LA - en ID - CMUC_2004__45_4_a7 ER -
%0 Journal Article %A Marano, Salvatore A. %A Motreanu, Dumitru %T A critical point result for non-differentiable indefinite functionals %J Commentationes Mathematicae Universitatis Carolinae %D 2004 %P 663-679 %V 45 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/CMUC_2004__45_4_a7/ %G en %F CMUC_2004__45_4_a7
Marano, Salvatore A.; Motreanu, Dumitru. A critical point result for non-differentiable indefinite functionals. Commentationes Mathematicae Universitatis Carolinae, Tome 45 (2004) no. 4, pp. 663-679. http://geodesic.mathdoc.fr/item/CMUC_2004__45_4_a7/