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Lyapunov‐type inequalities for singular elliptic partial differential equations
Author(s) -
Kumar Dharmendra,
Tyagi Jagmohan
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7134
Subject(s) - mathematics , type (biology) , lyapunov function , partial differential equation , mathematical analysis , elliptic partial differential equation , eigenvalues and eigenvectors , pure mathematics , nonlinear system , ecology , physics , quantum mechanics , biology
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.