This article concerns the existence of sign-changing solutions for equations driven by a non-local integrodifferential operator with homogeneous Dirichlet boundary conditions,
where is a bounded, smooth domain and the nonlinear term f satisfies suitable growth assumptions. By using Brouwer's degree theory and Deformation Lemma and arguing as in , we prove that there exists a least energy sign-changing solution. Our results generalize and improve some results obtained in 
Submitted March 30, 2017. Published July 14, 2017.
Math Subject Classifications: 35R11, 58E30.
Key Words: Brouwer's degree theory; sign-changing solutions; non-local elliptic equations; deformation Lemma.
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| Huxiao Luo |
School of Mathematics and Statistics
Central South University
Changsha, Hunan 410083, China
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