Strict Monotonicity of the First q-Eigenvalue of the Fractional p-Laplace Operator Over Annuli

Author:

Kumar K. AshokORCID,Biswas NirjanORCID

Funder

Department of Atomic Energy, Government of India

Publisher

Springer Science and Business Media LLC

Reference27 articles.

1. Ahlfors, L.V.: Conformal invariants: topics in geometric function theory. McGraw-Hill Series in Higher Mathematics. McGraw-Hill Book Co., New York-Düsseldorf-Johannesburg (1973)

2. Anoop, T.V., Ashok Kumar, A.: Domain variations of the first eigenvalue via a strict Faber-Krahn type inequality. Adv. Differ. Eqs. 28(7–8), 537–568 (2023). https://doi.org/10.57262/ade028-0708-537

3. Anoop, T.V., Bobkov, V., Sasi, S.: On the strict monotonicity of the first eigenvalue of the $$p$$-Laplacian on annuli. Trans. Amer. Math. Soc. 370(10), 7181–7199 (2018). https://doi.org/10.1090/tran/7241

4. Anoop, T.V., Ashok Kumar, A., Kesavan, S.: A shape variation result via the geometry of eigenfunctions. J. Differ. Eqs. 298, 430–462 (2021). https://doi.org/10.1016/j.jde.2021.07.001

5. Baernstein, A.: II. A unified approach to symmetrization. In: Partial differential equations of elliptic type (Cortona, 1992), Sympos. Math., XXXV, pages 47–91. Cambridge Univ. Press, Cambridge (1994)

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