Solutions for a singular critical growth problem with a weight |
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| Authors: | Pigong Han Zhaoxia Liu |
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| Institution: | a Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, PR China
b School of Mathematics and Computer Science, Central University for Nationalities, Beijing 100081, PR China |
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| Abstract: | In this paper, we consider some semilinear elliptic equations with Hardy potential. By using linking theorem in P. Rabinowitz, Minimax Methods in Critical Points Theory with Applications to Differential Equations, CBMS Reg. Conf. Ser. Math., vol. 65, Amer. Math. Soc., Providence, RI, 1986] and analyzing the effect of nonlinearities, we establish the existence of nontrivial solutions. |
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| Keywords: | Semilinear elliptic equation Variational functional Palais-Smale condition Critical exponent |
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