
arXiv: 0910.3436
We study the following Schr��dinger-Poisson system (P_��)\{ll} -��u + (1+��g(x))u+����(x) u =|u|^{p-1}u, x\in \mathbb{R}^3,
30pages
Potential well, Variational methods for second-order elliptic equations, a priori estimate, Ground state, Schrödinger-Poisson, FOS: Physical sciences, exponential decay, Mathematical Physics (math-ph), Nonlinear elliptic equations, potential well, A priori estimates in context of PDEs, 35J60, Mathematics - Analysis of PDEs, Second-order elliptic systems, Exponential decay, FOS: Mathematics, ground state, Schrödinger–Poisson, Priori estimate, Analysis, Mathematical Physics, PDEs in connection with quantum mechanics, Analysis of PDEs (math.AP)
Potential well, Variational methods for second-order elliptic equations, a priori estimate, Ground state, Schrödinger-Poisson, FOS: Physical sciences, exponential decay, Mathematical Physics (math-ph), Nonlinear elliptic equations, potential well, A priori estimates in context of PDEs, 35J60, Mathematics - Analysis of PDEs, Second-order elliptic systems, Exponential decay, FOS: Mathematics, ground state, Schrödinger–Poisson, Priori estimate, Analysis, Mathematical Physics, PDEs in connection with quantum mechanics, Analysis of PDEs (math.AP)
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