Existence of Nontrivial Solutions for Perturbed Elliptic System inℝN
Keyword(s):
We consider the perturbed nonlinear elliptic system-ε2Δu+V(x)u=K(x)|u|2*-2u+Hu(u,v), x∈ℝN,-ε2Δv+V(x)v=K(x)|v|2*-2v+Hv(u,v), x∈ℝN, whereN≥3,2*=2N/(N-2)is the Sobolev critical exponent. Under proper conditions onV,H, andK, the existence result and multiplicity of the system are obtained by using variational method providedεis small enough.
2019 ◽
Vol 471
(1-2)
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pp. 147-169
2013 ◽
Vol 56
(9)
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pp. 1831-1844
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2017 ◽
Vol 56
(5)
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2015 ◽
Vol 35
(5)
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pp. 2151-2164
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Keyword(s):