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Weighted Sobolev embedding with unbounded and decaying radial potentials. (English) Zbl 1220.35026
Summary: We prove embedding results of weighted $W^{1,p}(\Bbb R^N)$ spaces of radially symmetric functions. The results then are used to obtain ground and bound state solutions of quasilinear equations with unbounded or decaying radial potentials.

MSC:
35J05Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation
35J20Second order elliptic equations, variational methods
35J60Nonlinear elliptic equations
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References:
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