Srikanth, P. N. Double resonance and multiple solutions for semilinear elliptic equations. (English) Zbl 0575.35032 Rend. Sem. Mat. Univ. Padova 72, 329-342 (1984). Second order semilinear equations on a bounded domain are considered for nonlinearities that at infinity give double resonance. The author shows some multiplicity results for Ambrosetti-Mancini type as in the case of non-resonating problems. Reviewer: J.I.Diaz MSC: 35J65 Nonlinear boundary value problems for linear elliptic equations 35J25 Boundary value problems for second-order elliptic equations 35A05 General existence and uniqueness theorems (PDE) (MSC2000) Keywords:semilinear equations; double resonance; multiplicity results; non- resonating problems PDFBibTeX XMLCite \textit{P. N. Srikanth}, Rend. Semin. Mat. Univ. Padova 72, 329--342 (1984; Zbl 0575.35032) Full Text: Numdam EuDML References: [1] A. Ambrosetti - G. Mancini , Sharp non uniqueness results for some nonlinear problems , Nonlinear Analysis TMA , Vol. 3 , No. 5 , pp. 635 - 645 . MR 541874 | Zbl 0433.35025 · Zbl 0433.35025 · doi:10.1016/0362-546X(79)90092-0 [2] H. Berestycki - G. DE FIGUEIREDO, Double resonance in semilinear elliptic problems , Comm. in PDE , 6 ( 1 ) ( 1981 ), pp. 91 - 120 . MR 597753 | Zbl 0468.35043 · Zbl 0468.35043 · doi:10.1080/03605308108820172 [3] T. Gallouet - O. Kavian , Résultats d’existence et de non existence de solutions pour certains problèmes demi-linéaires à l’infini , Ann. Sc. de Toulouse ( 1981 ). Numdam | MR 658734 | Zbl 0495.35001 · Zbl 0495.35001 · doi:10.5802/afst.568 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.