Least energy sign-changing solutions for a class of fractional $ (p, q) $-Laplacian problems with critical growth in $ \mathbb{R}^N $.

This paper considers the following fractional -Laplacian equation: where , with is the fractional -Laplacian operator, and potential is a continuous function. Using constrained variational methods, a quantitative Deformation Lemma and Brouwer degree theory, we prove that the above problem has a least energy sign-changing solution under suitable conditions on , and . Moreover, we show that the energy of is strictly larger than two times the ground state energy. [ABSTRACT FROM AUTHOR]