대한수학회지 (Journal of the Korean Mathematical Society)

  • 제50권6호
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  • Pages.1257-1269
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  • 2013
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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THREE SOLUTIONS FOR A CLASS OF NONLOCAL PROBLEMS IN ORLICZ-SOBOLEV SPACES

  • Nguyen, Thanh Chung (Department of Science Management & International Cooperation Quang Binh University)
  • 투고 : 2012.11.11
  • 발행 : 2013.11.01
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⟨ 이전 논문 다음 논문 ⟩

초록

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.

키워드

참고문헌

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피인용 문헌

  1. Multiple solutions for Kirchhoff elliptic equations in Orlicz-Sobolev spaces vol.2017, pp.1, 2017, https://doi.org/10.1186/s13661-017-0865-y
  2. Existence of least energy nodal solution with two nodal domains for a generalized Kirchhoff problem in an Orlicz-Sobolev space vol.290, pp.4, 2017, https://doi.org/10.1002/mana.201500286