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http://dx.doi.org/10.4134/JKMS.2013.50.6.1257

THREE SOLUTIONS FOR A CLASS OF NONLOCAL PROBLEMS IN ORLICZ-SOBOLEV SPACES  

Nguyen, Thanh Chung (Department of Science Management & International Cooperation Quang Binh University)
Publication Information
Journal of the Korean Mathematical Society / v.50, no.6, 2013 , pp. 1257-1269 More about this Journal
Abstract
Using the three critical points theorem by B. Ricceri [23], we obtain a multiplicity result for a class of nonlocal problems in Orlicz-Sobolev spaces. To our knowledge, this is the first contribution to the study of nonlocal problems in this class of functional spaces.
Keywords
nonlocal problems; Orlicz-Sobolev spaces; multiple solutions; three critical points theorem;
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