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math.AP2010★ 4 cited
Existence of Nontrivial Solutions for p-Laplacian Equations in {R}^{N}
Chungen Liu, Youquan Zheng
In this paper, we consider a p-Laplacian equation in {R}^{N}with sign-changing potential and subcritical p-superlinear nonlinearity. By using the cohomological linking method for c…
math.AP2010
Linking Solutions for p-Laplace Equations with Nonlinear Boundary Conditions and Indefinite Weight
Chungen Liu, Youquan Zheng
We apply the linking method for cones in normed spaces to p-Laplace equations with various nonlinear boundary conditions. Some existence results are obtained.
math.AP2010
Soliton solutions for coupled Schrodinger systems with sign-changing potential
Chungen Liu, Youquan Zheng
In this paper, a class of coupled systems of nonlinear Schrodinger equations with sign-changing potential, including the linearly coupled case, is considered. The existence of non-…