Uniqueness of positive solutions of Δu−u+up=0 in Rn

Man Kam Kwong

Type: Article

Publication Date: 1989-09-01

Citations: 1249

DOI: https://doi.org/10.1007/bf00251502

View Publication

Locations

Archive for Rational Mechanics and Analysis - View

Similar Works

Action	Title	Year	Authors
+	Symmetry of Positive Solutions of Δu + up = 0 in Rn	1995	Hui Zou
+	Existence of Positive Radial Solutions to Δu + K(\|x\|) up = 0 in Rn	1995	Eiji Yanagida Shoji Yotsutani
+	Existence of positive solutions of the equation −Δu + a(x)u = u(N + 2)(N − 2) in RN	1990	Vieri Benci Giovanna Cerami
+	Uniqueness of positive radial solutions of ?u+g(r)u+h(r)u p =0 in Rn	1991	Eiji Yanagida
+	Structure of positive solutions to (−Δ+V) u=0 in Rn	1987	Minoru Murata
+	Uniqueness of positive solutions of Δu + f(\|x\|,u) = 0 in Ω(θ_1,θ_2)	1992	Fu-Hsiang Wong Shiueh-Ling Yu
+	Uniqueness of positive radial solutions of Δu+f(u)=0 in ℝn	1987	Kevin McLeod James Serrin
+	Classification and uniqueness of positive solutions of $\Delta u+f(u)=0$	1994	Fu Hsiang Wong Cheh Chih Yeh
+	Uniqueness and Nondegeneracy of Positive Solutions of $${(-\Delta)^s u + u = u^p \, {\rm in} \, \mathbb{R}^N}$$ ( - Δ ) s u + u = u p in R N when s is Close to 1	2014	Mouhamed Moustapha Fall Enrico Valdinoci
+	Uniqueness of Positive Solutions of Δ u + f ( u )=0 in ℝ N , N ≦3	1998	Carmen Cortázar Manuel Elgueta Patricio Felmer
+ PDF Chat	EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTION OF A SEMILINEAR ELLIPTIC EQUATION IN Rn	2002	Ali Djellit Nawel Benouhiba
+	Uniqueness of positive radial solutions of Δu+f(u,\|xz.sfnc;)=0	1992	Eiji Yanagida
+	Some Uniqueness Results for Δu + f(u) = 0 in R N , N ≥ 3	2020	Carmen Cortázar Manuel Elgueta Patricio Felmer
+	Uniqueness and nondegeneracy of positive radial solutions of $$\mathbf {div\,{\varvec{(}}{\varvec{\rho }} \nabla u{\varvec{)}} +{\varvec{\rho }}{\varvec{(}}-gu+hu^p{\varvec{)}}=0}$$ div ( ρ ∇ u ) + ρ ( - gu + hu p ) = 0	2016	Naoki Shioji Kohtaro Watanabe
+	Complete classification of the positive solutions of −Δu + u q	2012	Moshe Marcus
+	Positive solutions of an elliptic partial differential equation on RN	2002	Yihong Du Li Ma
+	Uniqueness of positive radial solutions of in ,	2010	Jaeduck Jang
+	EXISTENCE OF WEAK POSITIVE SOLUTION FOR	2014	Rafik Guefaifia Kamel Akrout Tahar Bouali
+	UNIQUENESS OF POSITIVE RADIAL SOLUTIONS OF Δu+g(r)u+h(r)u[p]=0 AND ITS APPLICATIONS (常微分方程式の大域的定性理論とその応用 : RIMS研究集会報告集)	2013	直樹塩路宏太郎渡辺
+	Uniqueness of positive radial solutions for Δu−u+up=0 on an annulus	2003	Moxun Tang

Works That Cite This (1213)

Action	Title	Year	Authors
+	Existence and Non-existence of Ground State Solutions for Magnetic NLS	2024	Oleg Asipchuk Christopher Leonard Shijun Zheng
+	On the concentration phenomenon of L2-subcritical constrained minimizers for a class of Kirchhoff equations with potentials	2018	Gongbao Li Hongyu Ye
+ PDF Chat	Scattering of radial solutions to the inhomogeneous nonlinear Schrödinger equation	2020	Luccas Campos
+ PDF Chat	Minimal energy solutions for cooperative nonlinear Schrödinger systems	2014	Rainer Mandel
+	Multi-travelling waves for the nonlinear Klein-Gordon equation	2017	Raphaël Côte Yvan Martel
+	Concentration behavior of standing waves for almost mass critical nonlinear Schrödinger equations	2014	Yujin Guo Xiaoyu Zeng Huan-Song Zhou
+ PDF Chat	Normalized solutions to a class of Kirchhoff equations with Sobolev critical exponent	2022	Gongbao Li Xiao Luo Yang Tao
+ PDF Chat	Overdetermined elliptic problems in onduloid-type domains with general nonlinearities	2022	David Ruiz Pieralberto Sicbaldi Jing Wu
+ PDF Chat	Interpolation Inequalities and Spectral Estimates for Magnetic Operators	2018	Jean Dolbeault Maria J. Esteban Ари Лаптев Michael Loss
+ PDF Chat	Morse theory and multiple positive solutions to a Neumann problem	1995	Monica Lazzo

Works Cited by This (13)

Action	Title	Year	Authors
+ PDF Chat	Concavity and monotonicity properties of solutions of Emden-Fowler equations	1988	Hans G. Kaper Man Kam Kwong
+	Uniqueness of non-negative solutions of a class of semi-linear elliptic equations	1988	Hans G. Kaper Man Kam Kwong
+	On the Kolodner-Coffman method for the uniqueness problem of Emden-Fowler BVP	1990	Man Kam Kwong
+ PDF Chat	Symmetry and related properties via the maximum principle	1979	Basilis Gidas Wei‐Ming Ni Louis Nirenberg
+	Uniqueness and nonuniqueness for positive radial solutions of Δu + f(u, r) = 0	1985	Wei‐Ming Ni Roger D. Nussbaum
+	Nonlinear scalar field equations, II existence of infinitely many solutions	1983	Henri Berestycki Pierre‐Louis Lions
+	Uniqueness of solutions of nonlinear Dirichlet problems	1983	Wei‐Ming Ni
+	Uniqueness of non-negative solutions of semilinear equations in Rn	1986	L. A. Peletier James Serrin
+	Nonlinear scalar field equations, I existence of a ground state	1983	Henri Berestycki P. L. Lions
+	A non-oscillation theorem for the emden-fowler equation: Ground states for semilinear elliptic equations with critical exponents	1988	Hans G. Kaper Man Kam Kwong