Infinitely Many Positive Solutions for an Nonlinear Field Equation with Super-critical Growth
نویسندگان
چکیده
We consider the following nonlinear field equation with super critical growth: (*) −∆u + λu = Q(y)u N +2 N −2 , u > 0 in R N +m , u(y) → 0 as |y| → +∞, where m ≥ 1, λ ≥ 0 and Q(y) is a bounded positive function. We show that equation (*) has infinitely many positive solutions under certain symmetry conditions on Q(y).
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