Radial solutions with prescribed number of nodes to an asymptotically linear elliptic problem: A parabolic flow approach

Author:

Ishiwata Michinori, ,Li Haoyu,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference21 articles.

1.

H. Amann and E. Zehnder, Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser., 7 (1980), 539-603, http://www.numdam.org/item/?id=ASNSP_1980_4_7_4_539_0.

2.

A. Biswas and S. Konar, Introduction to Non-Kerr law Optical Solitons, Chapman & Hall/CRC, Boca Raton, FL, 2007.

3.

K.-C. Chang, Infinite-Dimensional Morse Theory and Multiple Solution Problems, Birkhäuser Boston, Inc., Boston, MA, 1993.

4. Radial Solutions of¶Superlinear Equations on ℝN¶Part I: Global Variational Approach

5.

R. Courant and D. Hilbert, Methods of Mathematical Physics. Vol. I, A Wiley-Interscience Publication. John Wiley & Sons, Inc., New York, 1966.

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