caa a22 4500 60619407X CHVBK 20210128100912.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s00030-014-0302-1 doi (NATIONALLICENCE)springer-10.1007/s00030-014-0302-1 Multiplicity results for elliptic fractional equations with subcritical term [Elektronische Daten] [Giovanni Bisci, Vicenţiu Rădulescu] In the present paper, by using variational methods, we study the existence of multiple nontrivial weak solutions for parametric nonlocal equations, driven by the fractional Laplace operator $${(-\Delta)^{s}}$$ ( - Δ ) s , in which the nonlinear term has a sublinear growth at infinity. More precisely, a critical point result for differentiable functionals is exploited, in order to prove the existence of an open interval of positive eigenvalues for which the treated problem admits at least two nontrivial weak solutions in a suitable fractional Sobolev space. Springer Basel, 2014 Fractional Laplacian nationallicence variational methods nationallicence multiple solutions nationallicence Bisci Giovanni Dipartimento PAU, Università ‘Mediterranea' di Reggio Calabria, Via Graziella, 89124, Reggio Calabria, Feo di Vito, Italy aut Rădulescu Vicenţiu Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia aut Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/4(2015-08-01), 721-739 1021-9722 22:4<721 2015 22 30 https://doi.org/10.1007/s00030-014-0302-1 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/s00030-014-0302-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bisci Giovanni Dipartimento PAU, Università ‘Mediterranea' di Reggio Calabria, Via Graziella, 89124, Reggio Calabria, Feo di Vito, Italy aut NATIONALLICENCE 700 1- Rădulescu Vicenţiu Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia aut NATIONALLICENCE 773 0- Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/4(2015-08-01), 721-739 1021-9722 22:4<721 2015 22 30