【摘 要】
：
In this talk the problem (P){-△u + a(x)u = |u|p-1u in RN u ∈ H1(RN) is considered,when N ≥ 2,p > 1 and p < N+2/N-2,if N ≥ 3.Assuming that the potential
【机 构】
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UniversitarioPolitecnicodiBari
【出 处】
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International Conference on Variational Methods(ICAM-3)(2012
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In this talk the problem (P){-△u + a(x)u = |u|p-1u in RN u ∈ H1(RN) is considered,when N ≥ 2,p > 1 and p < N+2/N-2,if N ≥ 3.Assuming that the potential a(x) is a positive function belonging to LN/2loc (RN),such that a(x) → a∞ > 0,as |x| → 1,that satisfies slow decay assumptions,but not requiring any symmetry property on a(x),it will be shown that the existence of infinitely many positive ‘multibump’ solutions to (P) can be proved by purely variational methods.
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