A Geometric Proof of the Kwong-McLeod Uniqueness Result

C. B. Clemons, Christopher K. R. T. Jones

Type: Article

Publication Date: 1993-03-01

Citations: 20

DOI: https://doi.org/10.1137/0524027

View Publication

Locations

SIAM Journal on Mathematical Analysis - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Uniqueness of the positive solution of $\Delta u+f(u)=0$ in an annulus	1991	Man Kam Kwong Li Zhang
+	Uniqueness and Liouville type results for radial solutions of some classes of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>k</mml:mi> </mml:math>-Hessian equations	2022	Mohamed Ben Chrouda
+	Positivity for the linearized problem for semilinear equations	2006	Philip Korman Tiancheng Ouyang
+	Uniqueness theorems for negative radial solutions of k-Hessian equations in a ball	2016	Wei Wei
+ PDF Chat	Symmetry and monotonicity of least energy solutions	2009	Jaeyoung Byeon Louis Jeanjean Mihai Mariş
+	On the existence of radial solutions to a nonlinear <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.svg" display="inline" id="d1e23"><mml:mi>k</mml:mi></mml:math>-Hessian system with gradient term	2024	Guotao Wang Zhuobin Zhang Bashir Ahmad
+	A note on the uniqueness and the non-degeneracy of positive radial solutions for semilinear elliptic problems and its application	2016	Shinji Adachi Masataka Shibata Tatsuya Watanabe
+	Radial symmetry and monotonicity of the positive solutions for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e46" altimg="si4.svg"><mml:mi>k</mml:mi></mml:math>-Hessian equations	2022	Lihong Zhang Qi Liu
+ PDF Chat	On the uniqueness of ground state solutions of a semilinear equation containing a weighted Laplacian	2006	Carmen Cortázar Marta Garcı́a-Huidobro
+ PDF Chat	A note on the uniqueness and the non-degeneracy of positive radial solutions for semilinear elliptic problems and its application	2018	Shinji Adachi Masataka Shibata Tatsuya Watanabe
+	Symmetry results of solutions for elliptic systems with linear couplings	2023	Keqiang Li Shangjiu Wang Yin Li Shaoyong Li
+	A unified approach to symmetry for semilinear equations associated to the Laplacian in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msup></mml:math>	2020	Andrés I. Ávila Friedemann Brock
+	Non-degeneracy and uniqueness of the radial solutions to a coupled <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e44" altimg="si10.svg"><mml:mi>k</mml:mi></mml:math>-Hessian system	2022	Guotao Wang Qi Zhang
+ PDF Chat	Uniqueness of Radial Solutions of Semilinear Elliptic Equations	1992	Man Kam Kwong Yi Li
+	Existence, multiplicity and classification results for solutions to $k$-Hessian equations with general weights	2022	João Marcos Ó Justino Sánchez Evelina Shamarova
+	Solving a problem proposed by T. Ogawa	2012	Julián López-Gómez
+	Classification and existence of positive entire k-convex radial solutions for generalized nonlinear k-Hessian system	2021	Lihong Zhang Zedong Yang Guotao Wang Mohammad M. Rashidi
+ PDF Chat	Classification of radial solutions to Hénon type equation on the hyperbolic space	2019	Shoichi Hasegawa
+	A necessary and a sufficient condition for the existence of the positive radial solutions to Hessian equations and systems with weights	2015	Dragoş-Pătru Covei
+	A necessary and a sufficient condition for the existence of the positive radial solutions to Hessian equations and systems with weights	2015	Dragoş-Pătru Covei

Works That Cite This (20)

Action	Title	Year	Authors
+ PDF Chat	Ground states of semilinear elliptic equations: a geometric approach	2000	Rodrigo Bamón Isabel Flores Manuel del Pino
+	Exact multiplicity of positive solutions for a class of semilinear problem, II	1999	Tiancheng Ouyang Junping Shi
+ PDF Chat	Uniqueness of excited states to −Δu + u−u3= 0 in three dimensions	2024	Alex Cohen Zhenhao Li Wilhelm Schlag
+	Uniqueness of excited states to $-\Delta u+u-u^3=0$ in three dimensions.	2021	Alex Cohen Zhenhao Li Wilhelm Schlag
+	Uniqueness of excited states to $-Δu+u-u^3=0$ in three dimensions	2021	Alex Cohen Zhenhao Li Wilhelm Schlag
+	Uniqueness of positive radial solutions for Δu−u+up=0 on an annulus	2003	Moxun Tang
+ PDF Chat	On critical exponents for the Pucci’s extremal operators	2003	Patricio Felmer Alexander Quaas
+	Uniqueness of radially symmetric positive solutions for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mo>−</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>u</mml:mi><mml:mo>+</mml:mo><mml:mi>u</mml:mi><mml:mo>=</mml:mo><mml:msup><mml:mi>u</mml:mi><mml:mi>p</mml:mi></mml:msup></mml:math>in an annulus	2008	Patricio Felmer Salomé Martínez Kazunaga Tanaka
+	A generalized Pohožaev identity and uniqueness of positive radial solutions of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>u</mml:mi><mml:mo>+</mml:mo><mml:mi>g</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>r</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mi>u</mml:mi><mml:mo>+</mml:mo><mml:mi>h</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>r</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:…	2013	Naoki Shioji Kohtaro Watanabe
+ PDF Chat	Critical exponents for the Pucci's extremal operators	2002	Patricio Felmer Alexander Quaas

Works Cited by This (5)

Action	Title	Year	Authors
+	Uniqueness of positive solutions of Δu−u+up=0 in Rn	1989	Man Kam Kwong
+	On the Infinitely Many Solutions of a Semilinear Elliptic Equation	1986	Christopher K. R. T. Jones Tassilo Küpper
+ PDF Chat	Existence of solitary waves in higher dimensions	1977	Walter A. Strauss
+	Uniqueness of the ground state solution for Δu−u+u 3=0 and a variational characterization of other solutions	1972	Charles V. Coffman
+	Uniqueness of positive radial solutions of Δu+f(u)=0 in ℝn	1987	Kevin McLeod James Serrin