MULTIPLE SOLUTIONS FOR NONLINEAR ELLIPTIC EQUATIONS ON COMPACT RIEMANNIAN MANIFOLDS
2007 ◽
Vol 18
(09)
◽
pp. 1071-1111
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Keyword(s):
Let (M,g) be a smooth compact Riemannian n-manifold, n ≥ 4, and h be a Holdër continuous function on M. We prove multiplicity of changing sign solutions for equations like Δg u + hu = |u|2* - 2 u, where Δg is the Laplace–Beltrami operator and 2* = 2n/(n - 2) is critical from the Sobolev viewpoint.
2013 ◽
Vol 33
(6)
◽
pp. 2469-2494
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2021 ◽
Vol 496
(1)
◽
pp. 124803
2005 ◽
Vol 303
(2)
◽
pp. 477-485
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Keyword(s):
Second-order estimates and regularity for fully nonlinear elliptic equations on Riemannian manifolds
2014 ◽
Vol 163
(8)
◽
pp. 1491-1524
◽
Keyword(s):
2004 ◽
Vol 298
(1)
◽
pp. 14-32
◽
2015 ◽
Vol 54
(3)
◽
pp. 2693-2712
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A degree theoretic approach for multiple solutions of constant sign for nonlinear elliptic equations
2007 ◽
Vol 124
(4)
◽
pp. 507-531
◽