Generalized Harnack Inequality for Nonhomogeneous Elliptic Equations
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| 005 | 20210128100707.0 | ||
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| 008 | 210128e20150501xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s00205-014-0817-y |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-014-0817-y | ||
| 100 | 1 | |a Julin |D Vesa |u University of Jyvaskyla, Jyvaskyla, Finland |4 aut | |
| 245 | 1 | 0 | |a Generalized Harnack Inequality for Nonhomogeneous Elliptic Equations |h [Elektronische Daten] |c [Vesa Julin] |
| 520 | 3 | |a This paper is concerned with nonlinear elliptic equations in nondivergence form $$F(D^{2}u, Du, x) = 0 $$ F ( D 2 u , D u , x ) = 0 where F has a drift term which is not Lipschitz continuous. Under this condition the equations are nonhomogeneous and nonnegative solutions do not satisfy the classical Harnack inequality. This paper presents a new generalization of the Harnack inequality for such equations. As a corollary we obtain the optimal Harnack type of inequality for p(x)-harmonic functions which quantifies the strong minimum principle. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2014 | ||
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 216/2(2015-05-01), 673-702 |x 0003-9527 |q 216:2<673 |1 2015 |2 216 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-014-0817-y |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00205-014-0817-y |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Julin |D Vesa |u University of Jyvaskyla, Jyvaskyla, Finland |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 216/2(2015-05-01), 673-702 |x 0003-9527 |q 216:2<673 |1 2015 |2 216 |o 205 | ||