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Boundary blow-up problems for Hessian equations

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This paper is concerned with large solutions of Hessian equations , in a strictly k-convex domain , i.e. solutions such that as . We prove existence, in the viscosity sense, of this kind of solutions assuming that g satisfies some natural growth conditions. Non-existence and uniqueness results are given too.

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Received: 18 November 1997

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Salani, P. Boundary blow-up problems for Hessian equations . manuscripta math. 96, 281–294 (1998). https://doi.org/10.1007/s002290050068

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  • DOI: https://doi.org/10.1007/s002290050068

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