Multiplicity results for bound state solutions of a semilinear equation
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Date
2024
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Abstract
We consider the problem of multiplicity and uniqueness of radial solutions of a nonlinear elliptic equation of the form where f is a prescribed function, satisfying appropriate conditions. This paper is a review of recent developments on the multiplicity of solutions, with a special emphasis on the effect of the mid-range behavior of the nonlinearity f over the existence and multiplicity of solutions.
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Keywords
Multiplicity of solutions, Ground state solutions, Bound state solutions