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Least energy sign-changing solutions for a class of fractional $(p,q)$-Laplacian problems with critical growth in $\R^N$
  • kun Cheng,
  • ShengHao Feng,
  • li wang
kun Cheng
Jingdezhen Ceramic Institute

Corresponding Author:[email protected]

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ShengHao Feng
Nanchang University
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li wang
East China Jiao Tong University
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Abstract

In this paper we consider the following fractional $(p,q)$-Laplacian equation $$ (-\Delta)_{p}^{s} u+(-\Delta)_{q}^{s} u+V(x)\left(|u|^{p-2} u+|u|^{q-2} u\right)=\lambda f(u)+|u|^{q^*_s-2}u \quad \text { in } \mathbb{R}^{N}, $$ where $s \in(0,1), \lambda>0, 2