caa a22 4500 606193995 CHVBK 20210128100912.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s00030-015-0353-y doi (NATIONALLICENCE)springer-10.1007/s00030-015-0353-y On a class of critical ( p , q )-Laplacian problems [Elektronische Daten] [Pasquale Candito, Salvatore Marano, Kanishka Perera] We obtain nontrivial solutions of a critical (p, q)-Laplacian problem in a bounded domain. In addition to the usual difficulty of the loss of compactness associated with problems involving critical Sobolev exponents, this problem lacks a direct sum decomposition suitable for applying the classical linking theorem. We show that every Palais-Smale sequence at a level below a certain energy threshold admits a subsequence that converges weakly to a nontrivial critical point of the variational functional. Then we prove an abstract critical point theorem based on a cohomological index and use it to construct a minimax level below this threshold. Springer Basel, 2015 ( p , q )-Laplacian problems nationallicence Critical Sobolev exponent nationallicence Nontrivial solutions nationallicence Critical point theory nationallicence Cohomological index nationallicence Candito Pasquale Università degli Studi di Reggio Calabria, 89100, Reggio Calabria, Italy aut Marano Salvatore Università degli Studi di Catania, 95125, Catania, Italy aut Perera Kanishka Florida Institute of Technology, 32901, Melbourne, FL, USA aut Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/6(2015-12-01), 1959-1972 1021-9722 22:6<1959 2015 22 30 https://doi.org/10.1007/s00030-015-0353-y text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00030-015-0353-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Candito Pasquale Università degli Studi di Reggio Calabria, 89100, Reggio Calabria, Italy aut NATIONALLICENCE 700 1- Marano Salvatore Università degli Studi di Catania, 95125, Catania, Italy aut NATIONALLICENCE 700 1- Perera Kanishka Florida Institute of Technology, 32901, Melbourne, FL, USA aut NATIONALLICENCE 773 0- Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/6(2015-12-01), 1959-1972 1021-9722 22:6<1959 2015 22 30