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STUDIA MATHEMATICA - Issue no. 4 / 2023 | |||||||
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MULTIPLICITY RESULTS FOR NONHOMOGENOUS ELLIPTIC EQUATION INVOLVING THE GENERALIZED PANEITZ-BRANSON OPERATOR. Authors: KAMEL TAHRI. |
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Abstract: DOI: 10.24193/subbmath.2023.4.19 Received 08 December 2020; Accepted 22 September 2021. Published Online: 2023-12-11 Published Print: 2023-12-30 pp. 931-941 VIEW PDF FULL PDF Under some conditions and using critical points theory, we prove the existence of two solutions of the elliptic equation. At the end, we give a geometric example when the equation has negative and positive solutions. Mathematics Subject Classification (2010): 58J05, 58E99. Keywords: Riemannian manifold, multiplicity result, nonhomogenous, Paneitz- Branson operator, critical points theory |
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