Acta mathematica scientia,Series B ›› 1993, Vol. 13 ›› Issue (1): 74-88.
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Cao Daomin, Zhang Zhangjie
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Abstract: We consider the following eigenvalue problem:-△u=μ(f(x,u)-u) (μ,u)∈R1×H1(R2) x∈R2Where f(x, t) is a continuous function with critical growth. We prove the existence of nontrivial solutions.
Cao Daomin, Zhang Zhangjie. EIGENFUNCTIONS OF THE NONLINEAR ELLIPTIC EQUATION WITH CRITICAL EXPONENT IN R2[J].Acta mathematica scientia,Series B, 1993, 13(1): 74-88.
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