Dynamics of Partial Differential Equations
Volume 17 (2020)
Least energy sign-changing solution to a fractional $p$-Laplacian problem involving singularities
Pages: 97 – 115
In this paper we study the existence of a least energy sign-changing solution to a nonlocal elliptic PDE involving singularities by using the Nehari manifold method, the constraint variational method and Brouwer degree theory.
sign-changing solutions, fractional $p$-Laplacian, Nehari manifold, singularity, Brouwer degree
2010 Mathematics Subject Classification
47J30, 35J60, 35J92, 35R11
S. Ghosh thanks the Council of Scientific and Industrial Research (CSIR), India, for the financial support vide grant no. 09/983(0013)/2017-EMR-I.
D. Choudhuri thanks the Council of Scientific and Industrial Research (CSIR), India, for research grant vide grant no. 25(0292)/18 /EMR-II.
Received 21 October 2019
Published 24 February 2020