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Existence of Three Solutions for Quasilinear Elliptic Equations: an Orlicz-Sobolev Space Setting 被引量:1
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作者 Fei FANG Zhong TAN 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2017年第2期287-296,共10页
In this paper, we establish the existence of three weak solutions for quasilinear elliptic equations in an Orlicz-Sobolev space via an abstract result recently obtained by Ricceri in [13].
关键词 Orlicz-Sobolev spaces quasilinear elliptic equations three critical points theorem
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EXISTENCE OF THREE SOLUTIONS TO A CLASS OF QUASILINEAR ELLIPTIC SYSTEMS INVOLVING THE(p_1(x), · · ·, p_n(x))-LAPLACIAN
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作者 Zhibo Cheng Shang Xiang 《Annals of Differential Equations》 2013年第3期257-268,共12页
In this paper, we investigate a class of Dirichlet quasilinear elliptic systems involving the(p1(x), ···, pn(x))-Laplacian. Based on the general three critical points theorem of B. Ricceri, we prove the... In this paper, we investigate a class of Dirichlet quasilinear elliptic systems involving the(p1(x), ···, pn(x))-Laplacian. Based on the general three critical points theorem of B. Ricceri, we prove the existence of at least three weak solutions to the system. 展开更多
关键词 general three critical point theorem (p1(x) · · · pn(x))-Laplacian three solutions Dirichlet problem
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