Bifurcating Solutions of a Nonlinear Elliptic Neumann Problem on Large Spherical Caps

Author:

Bandle Catherine1,Kabeya Yoshitsugu2,Ninomiya Hirokazu3

Affiliation:

1. Universität Basel

2. Osaka Prefecture University

3. Meiji University

Publisher

Division of Functional Equations, The Mathematical Society of Japan (JST)

Subject

Geometry and Topology,Algebra and Number Theory,Analysis

Reference34 articles.

1. [1] Ambrosetti, A. and Prodi, G., A Primer of Nonlinear Analysis, Cambridge studies in advances mathematics 34, Cambridge UP, Cambridge (1993).

2. [2] Baginski, F. E., Ordering the zeros of Legendre functions Pνm(z0) when considered as a function of ν, J. Math. Anal. Appl., 147 (1990), 269-308.

3. [3] Baginski, F. E., Comparison theorems for the ν-zeros of Legendre functions Pνm(z0) when -1 < z0 < 1, Proc. Amer. Math. Soc., 111 (1991), 395-402.

4. [4] Bandle, C. and Benguria, R., The Brezis-Nirenberg problem on S3, J. Differential Equations, 178 (2002), 264-279.

5. [5] Bandle, C., Brillard, A. and Flucher, M., Green's function, harmonic transplantation, and the best Sobolev constant in spaces of constant curvature, Trans. Amer. Math. Soc., 350 (1998), 1103-1128.

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