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A note on the continuity of minors in grand Lebesgue spaces

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We present a simple proof of the continuity, in the sense distributions, of the minors of the differential matrices of mappings belonging to grand Sobolev spaces. Such function spaces were… Click to show full abstract

We present a simple proof of the continuity, in the sense distributions, of the minors of the differential matrices of mappings belonging to grand Sobolev spaces. Such function spaces were introduced in connection with a problem on minimal integrability of the Jacobian and are useful in certain aspects of geometric function theory and partial differential equations.

Keywords: continuity; continuity minors; note continuity; minors grand; grand lebesgue; lebesgue spaces

Journal Title: Journal of Fixed Point Theory and Applications
Year Published: 2019

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