Timeline for Regularity of weak solutions for a quasilinear problem
Current License: CC BY-SA 3.0
5 events
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| Feb 25, 2014 at 13:38 | history | edited | user47404 | CC BY-SA 3.0 |
I want to know if I can substitute $\Delta_pu$ by $f\circ u$ in the hypothesis $\Delta_pu \in L^\infty(\Omega)$ to obtain regularity.
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| Feb 24, 2014 at 23:22 | comment | added | Igor Khavkine | Just a remark about terminology. It seems that your $u$ solves a semilinear equation, presuming that $f(u)$ is non-linear, rather than a quasilinear one. The latter condition would imply that the highest derivative term (which for you is $\Delta_p u$) would have $u$-dependent coefficients. | |
| Feb 24, 2014 at 20:46 | history | edited | András Bátkai |
added relevant tag
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| Feb 24, 2014 at 20:42 | review | First posts | |||
| Feb 24, 2014 at 20:46 | |||||
| Feb 24, 2014 at 20:26 | history | asked | user47404 | CC BY-SA 3.0 |