共查询到20条相似文献，搜索用时 35 毫秒
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The main purpose of this paper is to establish the existence of multiple solutions for singular elliptic system involving the critical Sobolev-Hardy exponents and concave-convex nonlinearities.It is shown,by means of variational methods,that under certain conditions,the system has at least two positive solutions. 相似文献
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O. Khazaee Kohpar & Somayeh Khademloo 《偏微分方程(英文版)》2013,26(1):14-24
This work is devoted to the existence and multiplicity properties of the ground state solutions of the semilinear boundary value problem $-Δu=λa(x)u|u|^{q-2}+ b(x)u|u|^{2^∗-2}$ in a bounded domain coupled with Dirichlet boundary condition. Here $2^∗$ is the critical Sobolev exponent, and the term ground state refers to minimizers of the corresponding energy within the set of nontrivial positive solutions. Using the Nehari manifold method we prove that one can find an interval L such that there exist at least two positive solutions of the problem for $λ∈Λ$. 相似文献
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In this paper,we consider a singular elliptic system with both concave non-linearities and critical Sobolev-Hardy growth terms in bounded domains.By means of variational methods,the multiplicity of positive solutions to this problem is obtained. 相似文献
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In this paper, we study the multiplicity results of positive solutions for a class of quasi-linear elliptic equations involving critical Sobolev exponent. With the help of Nehari manifold and a mini-max principle, we prove that problem admits at least two or three positive solutions under different conditions. 相似文献
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Tsing-San HSU 《数学物理学报(B辑英文版)》2013,33(5):1314-1328
In this paper, we deal with the existence and multiplicity of positive solutions for the quasilinear elliptic problem??pu?kX i=1 μi |u|p?2|x?ai|p u=|u|p*?2 u+λ|u|q?2 u, x∈?, where??RN (N ≥3) is a smoot... 相似文献
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主要研究带有非齐次边界条件的拟线性椭圆方程组的正解问题,在合适参数条件下,用变分方法和流形方法得到该椭圆方程组正解的存在性和多解性.结论推广了近期发表的结果. 相似文献
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In this article, we consider a class of degenerate quasilinear elliptic problems with weights and nonlinearity involving the critical Hardy-Sobolev exponent and one sign-changing function. The existence and multiplicity results of positive solutions are obtained by variational methods. 相似文献
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Qi Li;Shixin Wen; 《Mathematical Methods in the Applied Sciences》2024,47(8):6962-6989
This paper deals with the following fractional Laplacian system with critical exponent: 相似文献
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In this paper, our main purpose is to establish the existence results of positive solutions for a p ?q ‐Laplacian system involving concave‐convex nonlinearities: where Ω is a bounded domain in R N , λ ,θ >0 and 1<r <q <p <N . We assume 1<α ,β and is the critical Sobolev exponent and △s ·=div(|?·|s ?2?·) is the s‐Laplacian operator. The main results are obtained by variational methods. 相似文献
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In this paper, we study the effect of domain shape on the number of 2-nodal solutions for the semilinear elliptic equation involving non-odd nonlinearities. We prove that a semilinear elliptic equation in an m-bump domain (possibly unbounded) has m2 2-nodal solutions and we can find a least energy nodal solution in those solutions. Furthermore, we can describe the bump location of these solutions. 相似文献
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Ying Shen Jihui Zhang 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(4):1019-1030
In this paper, we study the semilinear p-Laplacian system with critical growth terms in bounded domains. By using the Nehari manifold and variational methods, we prove that the system has at least two positive solutions when the pair of the parameters (λ,μ) belongs to a certain subset of R2. 相似文献
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Tiexiang Li 《Journal of Mathematical Analysis and Applications》2010,369(1):245-257
In this paper, we study the decomposition of the Nehari manifold via the combination of concave and convex nonlinearities. Furthermore, we use this result and the Ljusternik-Schnirelmann category to prove that the existence of multiple positive solutions for a Dirichlet problem involving critical Sobolev exponent. 相似文献
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带Robin边值条件的半线性奇异椭圆方程正解的存在性 总被引：2，自引：1，他引：1
本文研究了一类带Robin边值条件的半线性奇异椭圆方程．通过Hardy不等式,山路引理以及选取适当的试验函数验证局部PS条件,得到了此类方程正解的存在性这一结果． 相似文献
