Oddness of least energy nodal solutions on radial domains.
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Grumiau, Christopher, Troestler, Christophe (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Gianni Mancini, Kunnath Sandeep (2008)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
We prove existence/nonexistence and uniqueness of positive entire solutions for some semilinear elliptic equations on the Hyperbolic space.
Bernd Schmidt (2011)
ESAIM: Control, Optimisation and Calculus of Variations
We provide a detailed analysis of the minimizers of the functional , , subject to the constraint . This problem,e.g., describes the long-time behavior of the parabolic Anderson in probability theory or ground state solutions of a nonlinear Schrödinger equation. While existence can be proved with standard methods, we show that the usual uniqueness results obtained with PDE-methods can be considerably simplified by additional variational arguments. In addition, we investigate qualitative properties...
Bernd Schmidt (2011)
ESAIM: Control, Optimisation and Calculus of Variations
We provide a detailed analysis of the minimizers of the functional , , subject to the constraint . This problem, e.g., describes the long-time behavior of the parabolic Anderson in probability theory or ground state solutions of a nonlinear Schrödinger equation. While existence can be proved with standard methods, we show that the usual uniqueness results obtained with PDE-methods can be considerably simplified by additional variational arguments. In addition, we investigate qualitative properties...
Manuela Chaves, Jesús García-Azorero (2006)
Journal of the European Mathematical Society
We present some results concerning the problem , in , , where , , and is a smooth bounded domain containing the origin. In particular, bifurcation and uniqueness results are discussed.
Tiantian Qiao, Weiguo Li, Kai Liu, Boying Wu (2014)
Annales Polonici Mathematici
The Dirichlet boundary value problem for systems of elliptic partial differential equations at resonance is studied. The existence of a unique generalized solution is proved using a new min-max principle and a global inversion theorem.
Walter Aschbacher, Marco Squassina (2009)
Open Mathematics
We prove the phase segregation phenomenon to occur in the ground state solutions of an interacting system of two self-coupled repulsive Hartree equations for large nonlinear and nonlocal interactions. A self-consistent numerical investigation visualizes the approach to this segregated regime.
Hsu, Tsing-San (2011)
Abstract and Applied Analysis
Zhidkov, Peter (2009)
International Journal of Mathematics and Mathematical Sciences
Lindgren, Erik (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Carmen Cortázar, Marta García-Huidobro, Cecilia S. Yarur (2009)
Annales de l'I.H.P. Analyse non linéaire
Tadie (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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