A multiplicity results to a <em>p-q</em> Laplacian system with a concave and singular nonlinearities



	*A multiplicity results to a p-q* Laplacian system with a concave and singular nonlinearities**


	Fixed Point Theory, Volume 24, No. 2, 2023, 541-568, June 15th, 2023 DOI: 10.24193/fpt-ro.2023.2.06 Authors: Debajyoti Choudhuri, Mouna Kratou and Kamel Saoudi Abstract: In this paper we study the existence of multiple nontrivial positive weak solutions to the following system of problems. We will guarantee the existence of a solution in the Nehari manifold. Further by using the Lusternik-Schnirelman category we will prove the existence of at least cat(Ω)+1 number of solutions. Key Words and Phrases: Nehari manifold, Lusternik-Schnirelman category, singularity, multiplicity, fixed point. 2010 Mathematics Subject Classification: 35J35, 35J60, 47H10. Published on-line: June 15th, 2023. Fulltext pdf Back to volume's table of contents