Multiple solutions for Neumann systems in an Orlicz-Sobolev space setting

Ghasem A. Afrouzi, John R. Graef, Saeid Shokooh
2017 Miskolc Mathematical Notes  
In this paper, the authors improve some results on the existence of at least three weak solutions for non-homogeneous systems. The proof of the main result relies on a recent variational principle due to Ricceri. 2010 Mathematics Subject Classification: 34B37; 35J60; 35J70; 46N20; 58E05 Keywords: three solutions, non-homogeneous differential operator, Orlicz-Sobolev space sup j.t 1 ;:::;t n /jÄM jH u i .x; t 1 ; : : : ; t n /j 2 L 1 .˝/: Our approach in this paper relies on variational methods
more » ... ariational methods in Orlicz-Sobolev spaces. Such spaces originated with Nakano [26] and were further developed by Musielak
doi:10.18514/mmn.2017.1906 fatcat:wu356jzbdrbjrdhbxkgletof4a