On Uniqueness of Boundary Blow-up Solutions of a Class of Nonlinear Elliptic Equations
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🧮 math.AP
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ellipticblow-upboundaryequationssolutionsuniquenessclasscoefficients
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We study boundary blow-up solutions of semilinear elliptic equations $Lu=u_+^p$ with $p>1$, or $Lu=e^{au}$ with $a>0$, where $L$ is a second order elliptic operator with measurable coefficients. Several uniqueness theorems and an existence theorem are obtained.
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