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- Title
Global existence and multiplicity of positive solutions for anisotropic eigenvalue problems.
- Authors
Liu, Zhenhai; Papageorgiou, Nikolaos S.
- Abstract
We consider an eigenvalue problem driven by the anisotropic (p, q)-Laplacian and with a Carathéodory reaction which is (p(z) − 1)-sublinear as x → + ∞. We look for positive solutions. We prove an existence, nonexistence and multiplicity theorem which is global in the parameter λ > 0, that is, we prove a bifurcation-type theorem which describes in an exact way the changes in the set of positive solutions as the parameter λ varies on ℝ̊+ = (0, + ∞).
- Subjects
EIGENVALUES; MULTIPLICITY (Mathematics); BIFURCATION diagrams; EXPONENTS
- Publication
Mathematica Slovaca, 2024, Vol 74, Issue 3, p679
- ISSN
0139-9918
- Publication type
Article
- DOI
10.1515/ms-2024-0051