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The purpose of this paper is to develop a unified a posteriori method forverifying the positivity of solutions of elliptic boundary value problems byassuming neither $H^2$-regularity nor $ L^{\infty} $-error estimation, but only$ H^1_0 $-error estimation. In [J. Comput. Appl. Math, Vol. 370, (2020)112647], we proposed two approaches to verify the positivity of solutions ofseveral semilinear elliptic boundary value problems. However, some casesrequire $ L^{\infty} $-error estimation and, therefore, narrow applicability.In this paper, we extend one of the approaches and combine it with a priorierror bounds for Laplacian eigenvalues to obtain a unified method that has wideapplication. We describe how to evaluate some constants required to verify thepositivity of desired solutions. We apply our method to several problems,including those to which the previous method is not applicable.

A posteriori verification of the positivity of solutions to elliptic boundary value problems