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In this paper, we consider a class of nonlocal problems with indefinite weights in Orlicz-Sobolev space. Under some suitable conditions on the nonlinearities, we establish some existence results using variational techniques and Ekeland's variational principle.
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참고문헌 (38)
참고문헌 신청
E. Acerbi / 2002 / Regularity results for stationary electro-rheological fluids / Arch. Ration. Mech. Anal. 164(3):213~259
R. A. Adams / 1975 / Sobolev Spaces / Academic Press
K. Ait-Mahiout / 2018 / Existence and multiplicity of solutions for a class of quasilinear problems in Orlicz-Sobolev spaces without Ambrosetti-Rabinowitz condition / J. Elliptic Parabol. Equ 4(2):389~416
B. Amaziane / 2009 / Nonlinear flow through double porosity media in variable exponent Sobolev spaces / Nonlinear Anal. Real World Appl 10(4):2521~2530
M. Avci / 2013 / Ni-Serrin type equations arising from capillarity phenomena with non-standard growth / Bound. Value Probl 2013(55):13
R. A. Adams / 1975 / Sobolev Spaces / Academic Press
K. Ait-Mahiout / 2018 / Existence and multiplicity of solutions for a class of quasilinear problems in Orlicz-Sobolev spaces without Ambrosetti-Rabinowitz condition / J. Elliptic Parabol. Equ 4(2):389~416
B. Amaziane / 2009 / Nonlinear flow through double porosity media in variable exponent Sobolev spaces / Nonlinear Anal. Real World Appl 10(4):2521~2530
M. Avci / 2013 / Ni-Serrin type equations arising from capillarity phenomena with non-standard growth / Bound. Value Probl 2013(55):13
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