Bargmann-Type Inequality for Half-Linear Differential Operators

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作者
Gabriella Bognár
Ondřej Došlý
机构
[1] University of Miskolc,Department of Analysis
[2] Masaryk University,Department of Mathematics and Statistics
关键词
Nontrivial Solution; Real Root; Essential Spectrum; Minimal Solution; Nonrelativistic Quantum;
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摘要
We consider the perturbed half-linear Euler differential equation [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], with the subcritical coefficient [inline-graphic not available: see fulltext]. We establish a Bargmann-type necessary condition for the existence of a nontrivial solution of this equation with at least [inline-graphic not available: see fulltext] zero points in [inline-graphic not available: see fulltext].
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