Solutions of a Resonant Semilinear Elliptic Equation with Hardy Singular Terms

Yong Yi LAN, Chun Lei TANG

Acta Mathematica Sinica, Chinese Series ›› 2013, Vol. 56 ›› Issue (1) : 121-134.

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Acta Mathematica Sinica, Chinese Series ›› 2013, Vol. 56 ›› Issue (1) : 121-134. DOI: 10.12386/A2013sxxb0013
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Solutions of a Resonant Semilinear Elliptic Equation with Hardy Singular Terms

  • Yong Yi LAN1,2, Chun Lei TANG1
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Abstract

We consider the following semilinear elliptic equation ?Δu-μ(u/|x|2 = f(x, u) with the Dirichlet boundary value, and under suitable assumptions on the nonlinear term f. Some existence results of solutions are given via the variational method.

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Hardy singular terms / Dirichlet boundary condition / resonance / semilinear elliptic equation

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Yong Yi LAN, Chun Lei TANG. Solutions of a Resonant Semilinear Elliptic Equation with Hardy Singular Terms. Acta Mathematica Sinica, Chinese Series, 2013, 56(1): 121-134 https://doi.org/10.12386/A2013sxxb0013

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