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- Title
Multiplicity results for nonhomogenous elliptic equation involving the generalized Paneitz-Branson operator.
- Authors
Tahri, Kamel
- Abstract
Let (M, g) be a compact Riemannian manifold of dimension n > 3 without boundary dM, we consider the multiplicity result of solutions of the following nonhomogenous fourth order elliptic equation involving the generalized Paneitz-Branson operator, ... Under some conditions and using critical points theory, we prove the existence of two distinct solutions of the above equation. At the end, we give a geometric example when the equation has negative and positive solutions.
- Subjects
ELLIPTIC equations; CRITICAL point theory; COMPACT operators; ELLIPTIC operators; MULTIPLICITY (Mathematics); RIEMANNIAN manifolds
- Publication
Studia Universitatis Babeş-Bolyai, Mathematica, 2023, Vol 68, Issue 4, p931
- ISSN
0252-1938
- Publication type
Article
- DOI
10.24193/subbmath.2023.4.19