Asymptotic Uniqueness for a Biharmonic Equation with Nearly Critical Growth on Symmetric Convex Domains

Author:

Sato Tomohiko1,Takahashi Futoshi2

Affiliation:

1. Gakushuin University

2. Osaka City University

Publisher

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

Subject

Geometry and Topology,Algebra and Number Theory,Analysis

Reference18 articles.

1. [1] Caristi, G. and Mitidieri, E., Harnack inequality and applications to solutions of biharmonic equations, Oper. Theory Adv. Appl., 168 (2006), 1-26.

2. [2] Bartsch, T., Weth, T. and Willem, M., A Sobolev inequality with remainder term and critical equations on domains with topology for the polyharmonic operator, Calc. Var. Partial Differential Equations, 18 (2003), 253-268.

3. [3] Cerqueti, K., A uniqueness result for a semilinear elliptic equation involving the critical Sobolev exponent in symmetric domains, Asymptot. Anal., 21 (1999), 99-115.

4. [4] Lin, C-S., A classification of solutions of a conformally invariant fourth order equation in Rn, Comment. Math. Helv., 73 (1998), 206-231.

5. [5] Chou, K-S. and Geng, D., Asymptotics of positive solutions for a biharmonic equation involving critical exponent, Differential Integral Equations, 13 (2000), 921-940.

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