Multiplicity of Solutions for Schrödinger Equations with Concave-Convex Nonlinearities
Keyword(s):
We study the multiplicity of solutions for a class of semilinear Schrödinger equations: -Δu+V(x)u=gx,u, for x∈RN; u(x)→0, as u→∞, where V satisfies some kind of coercive condition and g involves concave-convex nonlinearities with indefinite signs. Our theorems contain some new nonlinearities.
2011 ◽
Vol 377
(2)
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pp. 834-840
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Existence and multiplicity of solutions for a class of generalized quasilinear Schrödinger equations
2017 ◽
Vol 452
(1)
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pp. 578-594
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2018 ◽
Vol 458
(2)
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pp. 1027-1043
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2013 ◽
Vol 403
(2)
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pp. 680-694
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2020 ◽
Vol 63
(1)
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pp. 11-40