LEAST ENERGY NODAL SOLUTIONS OF THE BREZIS–NIRENBERG PROBLEM IN DIMENSION N = 5
2009 ◽
Vol 11
(01)
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pp. 59-69
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Keyword(s):
We prove the existence of (a pair of) least energy sign changing solutions of [Formula: see text] when Ω is a bounded domain in ℝN, N = 5 and λ is slightly smaller than λ1, the first eigenvalue of -Δ with homogeneous Dirichlet boundary conditions on Ω.
2019 ◽
Vol 149
(5)
◽
pp. 1163-1173
2001 ◽
Vol 64
(3)
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pp. 381-393
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2013 ◽
Vol 398
(2)
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pp. 527-533
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2004 ◽
Vol 134
(1)
◽
pp. 69-87
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2005 ◽
Vol 2005
(13)
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pp. 2005-2010