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math.AP2025
Existence and dependency results for coupled Schrödinger equations with critical exponent on waveguide manifold
Jun Wang, Zhaoyang Yin
We study the coupled Schrödinger equations with critical exponent on . With the help of scaling argument and semivirial-vanishing technology, we obt…
math.AP2025
Transverse dependence and asymptotic dimensional reduction of ground states for the logarithmic Schrödinger equation on a waveguide manifold
Hichem Hajaiej, Jun Wang, Zhaoyang Yin
In this paper, we develop a novel approach to studying the -dependence of ground states for the logarithmic Schrödinger equation on . Unlike in \…