Lyapunov‐type inequalities for singular elliptic partial differential equations

Lyapunov‐type inequalities for singular elliptic partial differential equations

We establish Lyapunov‐type inequalities for a class of singular elliptic partial differential equations. As an application of Lyapunov‐type inequalities, we obtain lower bounds for the first eigenvalue of the associated singular elliptic partial differential equations. We also make an attempt to ans...

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Veröffentlicht in:Mathematical methods in the applied sciences 2021-05, Vol.44 (7), p.5593-5616
Hauptverfasser: Kumar, Dharmendra, Tyagi, Jagmohan
Format: Artikel
Sprache:eng
Schlagworte:
Eigenvalues
Elliptic functions
Inequalities
Lower bounds
Lyapunov inequality
Mathematical analysis
N‐Laplace equation
Partial differential equations
singular elliptic equations
variational methods
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Zusammenfassung:We establish Lyapunov‐type inequalities for a class of singular elliptic partial differential equations. As an application of Lyapunov‐type inequalities, we obtain lower bounds for the first eigenvalue of the associated singular elliptic partial differential equations. We also make an attempt to answer a question raised by de Nápoli and Pinasco in J. Funct. Anal. 270 (2016), no. 6, 1995–2018.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.7134