On the second eigenvalue of combination between local and nonlocal $p$-Laplacian
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- by Divya Goel and K. Sreenadh PDF
- Proc. Amer. Math. Soc. 147 (2019), 4315-4327 Request permission
Abstract:
In this paper, we study the mountain pass characterization of the second eigenvalue of the operator $-\Delta _p u -\Delta _{J,p}u$ and study shape optimization problems related to these eigenvalues.References
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Additional Information
- Divya Goel
- Affiliation: Department of Mathematics, Indian Institute of Technology Delhi, Hauz Khaz, New Delhi-110016, India
- MR Author ID: 1279513
- Email: divyagoel2511@gmail.com
- K. Sreenadh
- Affiliation: Department of Mathematics, Indian Institute of Technology Delhi, Hauz Khaz, New Delhi-110016, India
- MR Author ID: 693100
- Email: sreenadh@maths.iitd.ac.in
- Received by editor(s): August 30, 2018
- Received by editor(s) in revised form: January 7, 2019
- Published electronically: June 27, 2019
- Communicated by: Catherine Sulem
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 147 (2019), 4315-4327
- MSC (2010): Primary 35P30, 49Q10; Secondary 47J10
- DOI: https://doi.org/10.1090/proc/14542
- MathSciNet review: 4002544