Journal of the Ramanujan Mathematical Society
Volume 37, Issue 1, March 2022 pp. 13–22.
A fibering maps approach to a class of p-Laplacian problems with the
sign-changing logarithmic nonlinearity
Authors:
S. H. Rasouli and F. F. Faramarzy
Author institution:Department of Mathematics, Faculty of Basic Science, Babol Noshirvani University of Technology, Babol, Iran
Summary:
In the present paper, we consider the multiple solutions for a class of
p-Laplacian problems with the sign-changing logarithmic nonlinearity. By
logarithmic Sobolev inequality and analysis of the relationship between the
Nehari manifold and fibering maps, we will try to establish the existence of at
least two solutions. Our results generalize and improve the recent result in the
literature.
Contents
Full-Text PDF