Sign-Changing Solutions for a Class of Nonlinear Elliptic Problems*

Aixia Qian

Chinese Annals of Mathematics, Series B ›› 2007, Vol. 28 ›› Issue (5) : 609 -616.

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Chinese Annals of Mathematics, Series B ›› 2007, Vol. 28 ›› Issue (5) : 609 -616. DOI: 10.1007/s11401-005-0246-1
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Sign-Changing Solutions for a Class of Nonlinear Elliptic Problems*

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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 Fučik spectrum, via linking methods under Cerami condition.

Keywords

Sign-changing solutions / Fučik spectrum / Jumping nonlinearities / 35J05 / 35J65

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Aixia Qian. Sign-Changing Solutions for a Class of Nonlinear Elliptic Problems*. Chinese Annals of Mathematics, Series B, 2007, 28(5): 609-616 DOI:10.1007/s11401-005-0246-1

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