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Zbl 0692.35045
Li, Gongbao; Yan, Shusen
Eigenvalue problems for quasilinear elliptic equations on $R\sp N$. (English)
[J] Commun. Partial Differ. Equations 14, No.8-9, 1291-1314 (1989). ISSN 0360-5302; ISSN 1532-4133/e

We study the existence of standing waves of Schrödinger equations, the existence of nontrivial weak solutions of the eigenvalue problems of quasilinear elliptic scalar field equations and the decay at infinity of weak solutions of a class of quasilinear elliptic equations.

MSC 2000:: *35J60 Nonlinear elliptic equations
35J10 Schroedinger operator
35P99 Spectral theory and eigenvalue problems for PD operators
35Q99 PDE of mathematical physics and other areas
35B40 Asymptotic behavior of solutions of PDE
35D05 Existence of generalized solutions of PDE

Keywords: Schrödinger equations; decay at infinity

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