Uniform Estimates and Multisolvability of a Semilinear Elliptic Equation

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Abstract

In this paper, the author gives the uniform estimates for the solutions of the semilinear elliptic equation Δu+λe^u = 0 with zero Dirichlet boundary condition, and then derive the uniqueness of the nonminimal solution assuming some conditions satisfied.

Keywords:

Semilinear elliptic equation;uniform estimates;multisolvability
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Uniform Estimates and Multisolvability of a Semilinear Elliptic Equation. (2007). Journal of Partial Differential Equations, 20(3), 265-272. https://global-sci.com/index.php/jpde/article/view/4104