Entropy and renormalized solutions for nonlinear elliptic problem involving variable exponent and measure data
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| 024 | 7 | 0 | |a 10.1007/s10114-015-3555-7 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-3555-7 | ||
| 245 | 0 | 0 | |a Entropy and renormalized solutions for nonlinear elliptic problem involving variable exponent and measure data |h [Elektronische Daten] |c [Mohamed Benboubker, Houssam Chrayteh, Mostafa El Moumni, Hassane Hjiaj] |
| 520 | 3 | |a We give an existence result of entropy and renormalized solutions for strongly nonlinear elliptic equations in the framework of Sobolev spaces with variable exponents of the type: $$- div(a(x,u,\nabla u) + \varphi (u)) + g(x,u,\nabla u) = \mu ,$$ where the right-hand side belongs to L 1(Ω) + W −1,p′(x)(Ω), -div(a(x, u,∇u)) is a Leray-Lions operator defined from W −1,p′(x)(Ω) into its dual and φ ∈ C 0(ℝ,ℝ N ). The function g(x, u,∇u) is a non linear lower order term with natural growth with respect to |∇u| satisfying the sign condition, that is, g(x, u,∇u)u ≥ 0. | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2014 | ||
| 690 | 7 | |a Nonlinear elliptic problem |2 nationallicence | |
| 690 | 7 | |a Sobolev spaces |2 nationallicence | |
| 690 | 7 | |a variable exponent |2 nationallicence | |
| 690 | 7 | |a entropy solution |2 nationallicence | |
| 690 | 7 | |a renormalized solution |2 nationallicence | |
| 690 | 7 | |a measure data |2 nationallicence | |
| 700 | 1 | |a Benboubker |D Mohamed |u National School of Applied Sciences, Abdelmalek Essaadi University, BP 2222, M'hannech Tétouan, Morocco |4 aut | |
| 700 | 1 | |a Chrayteh |D Houssam |u Faculty of Science, Department of Mathematics and Computer Science, Beirut Arab University, Debbieh, Lebanon |4 aut | |
| 700 | 1 | |a El Moumni |D Mostafa |u Laboratory LAMA, Faculty of Sciences Dhar El Mahraz, Sidi Mohamed Ben Abdellah University, B.P 1796, Atlas Fez, Morocco |4 aut | |
| 700 | 1 | |a Hjiaj |D Hassane |u Laboratory LAMA, Faculty of Sciences Dhar El Mahraz, Sidi Mohamed Ben Abdellah University, B.P 1796, Atlas Fez, Morocco |4 aut | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/1(2015-01-01), 151-169 |x 1439-8516 |q 31:1<151 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-3555-7 |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/s10114-015-3555-7 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Benboubker |D Mohamed |u National School of Applied Sciences, Abdelmalek Essaadi University, BP 2222, M'hannech Tétouan, Morocco |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Chrayteh |D Houssam |u Faculty of Science, Department of Mathematics and Computer Science, Beirut Arab University, Debbieh, Lebanon |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a El Moumni |D Mostafa |u Laboratory LAMA, Faculty of Sciences Dhar El Mahraz, Sidi Mohamed Ben Abdellah University, B.P 1796, Atlas Fez, Morocco |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Hjiaj |D Hassane |u Laboratory LAMA, Faculty of Sciences Dhar El Mahraz, Sidi Mohamed Ben Abdellah University, B.P 1796, Atlas Fez, Morocco |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/1(2015-01-01), 151-169 |x 1439-8516 |q 31:1<151 |1 2015 |2 31 |o 10114 | ||