Renormalized solutions for the fractional p(x)-Laplacian equation with L^1 data

Chao Zhang; Xia Zhang

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arXiv · 1708.04481

Renormalized solutions for the fractional p(x)-Laplacian equation with L^1 data

Chao Zhang·Xia Zhang

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Abstract

In this paper, we prove the existence and uniqueness of nonnegative renormalized solutions for the fractional p(x)-Laplacian problem with L1 data. Our results are new even in the constant exponent fractional p-Laplacian equation case.

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Chao Zhang, Xia Zhang. 2017-08-15. Renormalized solutions for the fractional p(x)-Laplacian equation with L^1 data. https://arxiv.org/abs/1708.04481

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