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Showing 2012 · math.APShow all
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math.AP2012★ 3 cited
High Energy Solutions to Laplacian Equations of Schrödinger type
Duchao Liu, Xiaoyan Wang, Jinghua Yao
In this paper, we investigate nonlinear Schrdinger type equations in under the framework of variable exponent spaces. We propose new assumptions on the nonlinear te…
math.AP2012★ 5 cited
Quasi-gradient systems, modulational dichotomies, and stability of spatially periodic patterns
Alin Pogan, Arnd Scheel, Kevin Zumbrun
Extending the approach of Grillakis-Shatah-Strauss, Bronski-Johnson-Kapitula, and others for Hamiltonian systems, we explore relations between the constrained variational problem $…