Infinite multiplicity for inhomogeneous supercritical problem in entire space
classification
🧮 math.AP
keywords
problemsupercriticalanalysisasymptoticdeltaentireexistencefollowing
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In this paper, we will prove the existence of infinitely many positive solutions to the following supercritical problem by using the Liapunov-Schmidt reduction method and asymptotic analysis: {ll}\Delta u + u^{p}+f(x)=0, u>0 {in} R^{n}, \lim_{|x|\to\infty}u(x)\to 0.
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