Uniqueness of positive radial solutions of Δu+f(u)=0 in ℝn
Author:
Publisher
Springer Science and Business Media LLC
Subject
Mechanical Engineering,Mathematics (miscellaneous),Analysis
Link
http://link.springer.com/content/pdf/10.1007/BF00275874.pdf
Reference23 articles.
1. Atkinson, F. V. & Peletier, L. A., Ground states of -Δu=f(u) and the Emden-Fowler Equation, Arch. Rational Mech. Analysis 93, 103–127 (1986).
2. Berestycki, H. & Lions, P.-L., Non-linear scalar field equations I, Existence of a ground state; II, Existence of infinitely many solutions, Arch. Rational Mech. Analysis 82, 313–375 (1983).
3. Berestycki, H., Lions, P.-L. & Peletier, L. A., An ODE approach to the existence of positive solutions for semilinear problems in ℝ n , Indiana University Math. J. 30, 141–167 (1981).
4. Bongiorno, V., Scriven, L. E. & Davies, H. T., Molecular theory of fluid interfaces, J. Colloid and Interface Science 57, 462–475 (1967).
5. Coffman, C. V., Uniqueness of the ground state solution for Δu−u+u 3=0 and a variational characterization of other solutions, Arch. Rational Mech. Analysis 46, 12–95 (1972).
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