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Multiple Positive Solutions for Semilinear Elliptic Equations Involving Subcritical Nonlinearities in RN

Multiple Positive Solutions for Semilinear Elliptic Equations Involving Subcritical Nonlinearities in RN
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摘要 In this paper, we study how the shape of the graph of a(z) affects on the number of positive solutions of -△v+μb(z)v=a(z)vp-1+λh(z)vq-1,inRN.(0.1) We prove for large enough λ,μ〉 0, there exist at least k+ 1 positive solutions of the this semilinear elliptic equations where 1 ≤ q 〈 2 〈 p 〈 2* = 2N/(N-2) forN ≥ 3.
出处 《Journal of Partial Differential Equations》 2014年第1期74-94,共21页 偏微分方程(英文版)
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