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Gradient estimates of very weak solutions to general quasilinear elliptic equations
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Cited 3 time in Scopus
- Authors
- Issue Date
- 2022-11
- Publisher
- Academic Press
- Citation
- Journal of Functional Analysis, Vol.283 No.10, p. 109668
- Abstract
- We establish a gradient estimate for a very weak solution to a quasilinear elliptic equation with a nonstandard growth condition, which is a natural generalization of the p-Laplace equation. We investigate the maximum extent for the gradient estimate to hold without imposing any regularity assumption on the nonlinearity other than basic structure assumptions. Our results also include a higher integrability result of the gradient and the existence for the very weak solutions to such nonlinear problems. (c) 2022 Elsevier Inc. All rights reserved.
- ISSN
- 0022-1236
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