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Existence of Solutions to Nonlinear Schr?dinger Equations Involving N-Laplacian and Potentials Vanishing at Infinity
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作者 Mao Chun ZHU Jun WANG xiao yong qian 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2020年第10期1151-1170,共20页
We study the existence of solutions for the following class of nonlinear Schr?dinger equations-ΔN u+V(x)u=K(x)f(u)in R^N where V and K are bounded and decaying potentials and the nonlinearity f(s)has exponential crit... We study the existence of solutions for the following class of nonlinear Schr?dinger equations-ΔN u+V(x)u=K(x)f(u)in R^N where V and K are bounded and decaying potentials and the nonlinearity f(s)has exponential critical growth.The approaches used here are based on a version of the Trudinger–Moser inequality and a minimax theorem. 展开更多
关键词 Potentials vanishing at infinity Concentration-compactness Principles Mountain-pass theorem exponential critical growth N-Laplacian bound solution
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