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On the comparison principle for unbounded solutions of elliptic equations with first order terms

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2018-01-15
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info:eu-repo/semantics/openAccess
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Elsevier
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Resumen
We prove a comparison principle for unbounded weak sub/super solutions of the equation λu−div(A(x)Du)=H(x,Du) in Ω where A(x) is a bounded coercive matrix with measurable ingredients, λ≥0 and ξ↦H(x,ξ) has a super linear growth and is convex at infinity. We improve earlier results where the convexity of H(x,⋅) was required to hold globally.
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Comparison principle for unbounded solutions, Nonlinear elliptic equations with lower order terms
Citación
Tommaso Leonori, Alessio Porretta, On the comparison principle for unbounded solutions of elliptic equations with first order terms, Journal of Mathematical Analysis and Applications, Volume 457, Issue 2, 2018, Pages 1492-1501, ISSN 0022-247X, https://doi.org/10.1016/j.jmaa.2017.04.018
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Facultades y escuelas::Facultad de Ciencias
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Matemáticas Fundamentales
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Grupo de innovación
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