Eigencurves of the p(·)-Biharmonic operator with a Hardy-type term
2020 ◽
Vol 6
(2)
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pp. 198-209
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AbstractThis paper is devoted to the study of the homogeneous Dirichlet problem for a singular nonlinear equation which involves the p(·)-biharmonic operator and a Hardy-type term that depend on the solution and with a parameter λ. By using a variational approach and min-max argument based on Ljusternik-Schnirelmann theory on C1-manifolds [13], we prove that the considered problem admits at least one nondecreasing sequence of positive eigencurves with a characterization of the principal curve μ1(λ) and also show that, the smallest curve μ1(λ) is positive for all 0 ≤ λ < CH, with CH is the optimal constant of Hardy type inequality.
2016 ◽
Vol 18
(05)
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pp. 1550067
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1998 ◽
Vol 58
(2)
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pp. 213-221
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2016 ◽
Vol 106
(2)
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2010 ◽
Vol 35
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pp. 679-680
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2010 ◽
Vol 62
(5)
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pp. 1116-1130
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2010 ◽
Vol 216
(7)
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pp. 1972-1977
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2010 ◽
Vol 217
(1)
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pp. 437-440
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2010 ◽
Vol 39
(3-4)
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pp. 525-531
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2011 ◽
Vol 31
(4)
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pp. 1489-1493
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