On the shape of least‐energy solutions to a semilinear Neumann problem

10.1016/0022-1236(73)90051-7

Berestycki H., 1983, Equations de champs scalaires euclidiens nonlinéaires dans le plan, C. R. Acad. Sc. Paris, Série I Math., 297, 307

10.1007/BF00250555

Chen C.‐C. andLin C.‐S. Uniqueness of the ground state solution ofΔu+f(u) = 0inℝn n≧ 3 Comm. PDE to appear.

10.1007/BF01609421

10.1007/BF00282336

Egnell H. Asymptotic results for finite energy solutions of semilinear elliptic equations J. Diff. Eqns. to appear.

10.1007/BF00247733

10.1007/BF00289234

Gidas B., 1981, Symmetry of positive solutions of nonlinear elliptic equations in Rn, Advances in Math., Supplementary Studies, 7, 369

10.1007/978-3-642-61798-0

Kawohl B., 1985, Rearrangements and Convexity of Level Sets in PDE, Lecture Notes in Math. 1150

10.1016/0022-5193(70)90092-5

10.1007/BF00251502

Kwong M. K., 1991, Uniqueness of positive solutions of Δu + f(u) = 0 in ℝ n, Differential and Integral Equations, 4, 583

10.1007/BFb0082894

10.1016/0022-0396(88)90147-7

10.1007/BF00275874

McLeod K. Uniqueness of positive radial solutions ofΔu+f(u) = 0inℝn II prepeprint.

Ni W.‐M. Recent progress in semilinear elliptic equations RIMS Kokyuroku 679 Kyoto University 1989 pp.1–39.

10.1016/0022-0396(86)90119-1

Zhang L., 1988, Uniqueness of ground state solutions, Acta Math. Sci. (English Edition), 8, 449, 10.1016/S0252-9602(18)30321-7

10.1016/0362-546X(88)90061-2