Existence of positive solutions for a class of the p-Laplace equations
1994 ◽
Vol 36
(2)
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pp. 249-264
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Keyword(s):
AbstractWe are concerned with the existence of solutions ofwhere Δp is the p-Laplacian, p ∈ (1, ∞), and Ω is a bounded smooth domain in ℝn.For h(x) ≡ 0 and f(x, u) satisfying proper asymptotic spectral conditions, existence of a unique positive solution is obtained by invoking the sub-supersolution technique and the spectral method. For h(x) ≢ 0, with assumptions on asymptotic behavior of f(x, u) as u → ±∞, an existence result is also proved.
2016 ◽
Vol 146
(6)
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pp. 1243-1263
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2008 ◽
Vol 2008
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pp. 1-25
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2015 ◽
Vol 59
(4)
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pp. 959-987
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2016 ◽
Vol 18
(02)
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pp. 1550021
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2018 ◽
Vol 62
(2)
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pp. 471-488
2019 ◽
Vol 10
(1)
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pp. 17-25
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