Boundary Value Problems (Jan 2024)
Sign-changing solutions for Kirchhoff-type variable-order fractional Laplacian problems
Abstract
Abstract In this paper, we are concerned with the Kirchhoff-type variable-order fractional Laplacian problems involving critical exponents and logarithmic nonlinearity. By using the constraint variational method, we show the existence of one least energy sign-changing solution. Moreover, we show that this energy is strictly larger than twice the ground energy.
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