Mathematica Bohemica, Vol. 145, No. 1, pp. 93-112, 2020
Multiplicity of positive solutions for second order quasilinear equations
Dahmane Bouafia, Toufik Moussaoui, Donal O'Regan
Received April 20, 2018. Published online June 13, 2019.
Abstract: We discuss the existence and multiplicity of positive solutions for a class of second order quasilinear equations. To obtain our results we will use the Ekeland variational principle and the Mountain Pass Theorem.
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Affiliations: Dahmane Bouafia, Toufik Moussaoui, Laboratory of Fixed Point Theory and Applications, Department of Mathematics, École Normale Supérieure de Kouba, B.P. 92, Vieux-Kouba, 16308, Algiers, Algeria, e-mail: alidahmane10@yahoo.fr, moussaoui@ens-kouba.dz; Donal O'Regan, School of Mathematics, Statistics and Applied Mathematics, National University of Ireland Galway, University Road, H91 TK33 Galway, Ireland, e-mail: donal.oregan@nuigalway.ie
