共查询到20条相似文献,搜索用时 31 毫秒
1.
In this article, we study the multiplicity and concentration behavior of positive solutions for the p-Laplacian equation of Schrödinger-Kirchhoff type
in
, where Δp is the p-Laplacian operator, 1 < p < N, M:
and V:
are continuous functions, ε is a positive parameter, and f is a continuous function with subcritical growth. We assume that V satisfies the local condition introduced by M. del Pino and P. Felmer. By the variational methods, penalization techniques, and Lyusternik-Schnirelmann theory, we prove the existence, multiplicity, and concentration of solutions for the above equation. 相似文献
2.
3.
4.
5.
《Nonlinear Analysis: Theory, Methods & Applications》2005,61(5):839-855
In this paper, we study blow-up solutions to the Cauchy problem of the inhomogeneous nonlinear Schrödinger equationon . We present the -concentration property for general initial data and investigate the -minimality. 相似文献
6.
7.
8.
9.
10.
赵晓军 《数学物理学报(B辑英文版)》2018,38(2):673-680
In this article, we study the nonexistence of solution with finite Morse index for the following Choquard type equation-△u=∫RN|u(y)|p|x-y|αdy|u(x)|p-2u(x) in RN where N ≥ 3, 0 α min{4, N}. Suppose that 2 p (2 N-α)/(N-2),we will show that this problem does not possess nontrivial solution with finite Morse index. While for p=(2 N-α)/(N-2),if i(u) ∞, then we have ∫_RN∫_RN|u(x)p(u)(y)~p/|x-y|~α dxdy ∞ and ∫_RN|▽u|~2 dx=∫_RN∫_RN|u(x)p(u)(y)~p/|x-y|~αdxdy. 相似文献
11.
In this paper, we consider the following elliptic equation(0.1) where , , is differentiable in and is a given nonnegative Hölder continuous function in . The asymptotic behavior at infinity and structure of separation property of positive radial solutions with different initial data for (0.1) are discussed. Moreover, the existence and separation property of infinitely many positive solutions for Hardy equation and an equation related to Caffarelli–Kohn–Nirenberg inequality are obtained respectively, as special cases. 相似文献
12.
13.
14.
Roberta Filippucci Patrizia Pucci Frédéric Robert 《Journal de Mathématiques Pures et Appliquées》2009,91(2):156-177
Using the Mountain-Pass Theorem of Ambrosetti and Rabinowitz we prove that admits a positive weak solution in of class , whenever , and . The technique is based on the existence of extremals of some Hardy–Sobolev type embeddings of independent interest. We also show that if is a weak solution in of , then when either , or and u is also of class . 相似文献
15.
16.
Radu Ignat Luc Nguyen Valeriy Slastikov Arghir Zarnescu 《Comptes Rendus Mathematique》2018,356(9):922-926
For , we consider the Ginzburg–Landau functional for -valued maps defined in the unit ball with the vortex boundary data x on . In dimensions , we prove that, for every , there exists a unique global minimizer of this problem; moreover, is symmetric and of the form for . 相似文献
17.
18.
19.
This paper deals with the following nonlinear elliptic equation where , is a bounded non-negative function in . By combining a finite reduction argument and local Pohozaev type of identities, we prove that if and has a stable critical point with and , then the above problem has infinitely many solutions. This paper overcomes the difficulty appearing in using the standard reduction method to locate the concentrating points of the solutions. 相似文献
20.
Existence of standing waves of nonlinear Schrödinger equations with potentials vanishing at infinity
Ohsang Kwon 《Journal of Mathematical Analysis and Applications》2012,387(2):920-930
For a singularly perturbed nonlinear elliptic equation , , we prove the existence of bump solutions concentrating around positive critical points of V when nonnegative V is not identically zero for or nonnegative V satisfies for . 相似文献