caa a22 4500 445869461 CHVBK 20180317145507.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s00605-010-0201-4 doi (NATIONALLICENCE)springer-10.1007/s00605-010-0201-4 A multiplicity theorem for p -superlinear p -Laplacian equations using critical groups and morse theory [Elektronische Daten] [Sophia Kyritsi, Donal O'Regan, Nikolaos Papageorgiou] We study a nonlinear elliptic equation driven by the Dirichlet p-Laplacian and with a Carathéodory nonlinearity. We assume that the nonlinearity exhibits a p-superlinear growth near infinity but need not satisfy the Ambrosetti-Rabinowitz condition. Using truncation techniques, minimax methods and Morse theory, we show that the problem admits at least three nontrivial solutions, two of which have constant sign (one positive, the other negative). Springer-Verlag, 2010 p -Superlinear nonlinearity nationallicence C -condition nationallicence Indefinite Euler function nationallicence Mountain pass theorem nationallicence Critical groups nationallicence Morse theory nationallicence Kyritsi Sophia Department of Mathematics, Hellenic Naval Academy, 18539, Piraeus, Greece aut O'Regan Donal Department of Mathematics, National University of Ireland, Galway, University Road, Galway, Ireland aut Papageorgiou Nikolaos Department of Mathematics, National Technical University, Zografou Campus, 15780, Athens, Greece aut Monatshefte für Mathematik Springer Vienna 163/4(2011-08-01), 471-491 0026-9255 163:4<471 2011 163 605 https://doi.org/10.1007/s00605-010-0201-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00605-010-0201-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kyritsi Sophia Department of Mathematics, Hellenic Naval Academy, 18539, Piraeus, Greece aut NATIONALLICENCE 700 1- O'Regan Donal Department of Mathematics, National University of Ireland, Galway, University Road, Galway, Ireland aut NATIONALLICENCE 700 1- Papageorgiou Nikolaos Department of Mathematics, National Technical University, Zografou Campus, 15780, Athens, Greece aut NATIONALLICENCE 773 0- Monatshefte für Mathematik Springer Vienna 163/4(2011-08-01), 471-491 0026-9255 163:4<471 2011 163 605 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer