共查询到20条相似文献,搜索用时 546 毫秒
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韩丕功 《数学物理学报(B辑英文版)》2005,25(3):533-544
This paper deals with the existence of solutions to the elliptic equation -△uμu/|x|2=λu |u|2*-2u f(x, u) in Ω, u = 0 on ( a)Ω, where Ω is a bounded domain in RN(N≥3),0∈Ω,2*=2N/N-2,λ>0,λ(a)σμ, σμ is the spectrum of the operator -△- μI/|x|2with zero Dirichlet boundary condition, 0 <μ<-μ,-μ=(N-2)2/4,f(x,u) is an asymmetric lower order perturbation of |u|2*-1 at infinity. Using the dual variational methods, the existence of nontrivial solutions is proved. 相似文献
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《Nonlinear Analysis: Theory, Methods & Applications》2007,66(1):241-252
Let and be the critical Sobolev–Hardy exponents. Via variational methods and the analytic technique, we prove the existence of a nontrivial solution to the singular semilinear problem , for and suitable functions . 相似文献
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《Nonlinear Analysis: Theory, Methods & Applications》2005,61(5):735-758
Let be an open bounded domain, . We are concerned with the multiplicity of positive solutions of where and is a nonnegative function on . By investigating the effect of the coefficient of the critical nonlinearity, we, by means of variational method, prove the existence of multiple positive solutions. 相似文献
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In this paper, we study the following quasilinear Schrödinger equation where , , is a continuous function. By using a change of variable, we obtain the existence of ground state solutions. Unlike the condition , we only need to assume that . 相似文献
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