Relaxed penalty at infinity for semilinear elliptic equations with symmetries
Kyril Tintarev · 2003
The paper gives a di#erent proof for exitence of ground state solutions to the semilinear problem , p > 2, on R where b is invariant with respect to a free acting subgroup of O(N) with m elements. While the standard concentration compactness argument suggests the solvability condition inf b(x)/b 1, symmetric ground state solutions exist whenever inf b(x)/b > # m , where # m = m - < 1.