Nonexistence and radial symmetry of positive solutions of semilinear elliptic systems.

In this article we produce a refined version of the classical Pohozaev identity in the radial setting. The refined identity is then compared to the original, and possible applications are discussed.

Multiple solutions of semilinear elliptic systems

Yang Jianfu (1998)

Commentationes Mathematicae Universitatis Carolinae

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We obtain in this paper a multiplicity result for strongly indefinite semilinear elliptic systems in bounded domains as well as in $ℝ^{N}$ .

Radially symmetric solutions for a class of critical exponent elliptic problems in $ℝ^{N}$ .

Alves, C.O., de Morais Filho, D.C., Souto, M.A.S. (1996)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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