Sign-Changing Solutions for a Class of Nonlinear Elliptic Problems

Citation:

Aixia QIAN.Sign-Changing Solutions for a Class of Nonlinear Elliptic Problems[J].Chinese Annals of Mathematics B,2007,28(5):609~616
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Authors:

Aixia QIAN;

Foundation:

the National Natural Science Foundation of China (No. 10571123) and the Shandong Provincial Natural Science Foundation of China (No. Y2006A04).
Abstract: In the present paper, the author studies the existence of sign-changing solutions for nonlinear elliptic equations, which have jumping nonlinearities, and may or may not be resonant with respect to Fuˇcik spectrum, via linking methods under Cerami condition.

Keywords:

Sign-changing solutions, Fucik spectrum, Jumping nonlinearities

Classification:

35J05, 35J65
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