| Weak and entropy solutions for a class of nonlinear inhomogeneous Neumann boundary value problem with variable exponent</td>
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<td colspan="2" class="text5">关键词:
<a
href='http://oa.las.ac.cn/oainone/service/browseall/viewmore?ptype=JA&q= AND oakeywords:"Generalized Lebesgue and Sobolev spaces"'>Generalized Lebesgue and Sobolev spaces</a>;
<a
href='http://oa.las.ac.cn/oainone/service/browseall/viewmore?ptype=JA&q= AND oakeywords:"Weak solution"'>Weak solution</a>;
<a
href='http://oa.las.ac.cn/oainone/service/browseall/viewmore?ptype=JA&q= AND oakeywords:"Entropy solution"'>Entropy solution</a>;
<a
href='http://oa.las.ac.cn/oainone/service/browseall/viewmore?ptype=JA&q= AND oakeywords:"<img border=0 width=54 height=28 id="_x0000_i1054" src="http:/fbpe/img/cubo/v14n2/art02-06.jpg" alt="Descripción: http:/fbpe/img/cubo/v14n2/art02-06.jpg">Laplace operator"'><img border=0 width=54 height=28 id="_x0000_i1054" src="http:/fbpe/img/cubo/v14n2/art02-06.jpg" alt="Descripción: http:/fbpe/img/cubo/v14n2/art02-06.jpg">Laplace operator</a>;
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<td class="text2" colspan="2" style="color: #2575A5;">DOI : </td>
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<td colspan="2" class="text5" style="color: #2575A5;">来源:<a
href='http://oa.las.ac.cn/oainone/service/browseall/viewmore?ptype=JA&q= AND oasourcestr:"DOAJ"'>
DOAJ</a></td>
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<h6>【 摘 要 】</h6>
<p style="text-align: justify; text-indent: 2em;">
Estudiamos la existencia y unicidad de soluciones y entropía debil para el problema no lineal inhomogeneos de Neumann con valores de frontera que involucra el <img border=0 width=54 height=28 id="_x0000_i1053" src="http:/fbpe/img/cubo/v14n2/art02-06.jpg" alt="Descripción: http:/fbpe/img/cubo/v14n2/art02-06.jpg">Laplace de la forma<img border=0 width=582 height=24 id="_x0000_i1052" src="http:/fbpe/img/cubo/v14n2/art02-01.jpg" alt="Descripción: http:/fbpe/img/cubo/v14n2/art02-01.jpg"> en Omega,<img border=0 width=160 height=22 id="_x0000_i1051" src="http:/fbpe/img/cubo/v14n2/art02-09.jpg" alt="Descripción: http:/fbpe/img/cubo/v14n2/art02-09.jpg"> sobre <img border=0 width=36 height=27 id="_x0000_i1050" src="http:/fbpe/img/cubo/v14n2/art02-10.jpg" alt="Descripción: http:/fbpe/img/cubo/v14n2/art02-10.jpg">, donde Omega es en un dominio abierto suave y acotado en <img border=0 width=228 height=29 id="_x0000_i1049" src="http:/fbpe/img/cubo/v14n2/art02-02.jpg" alt="Descripción: http:/fbpe/img/cubo/v14n2/art02-02.jpg">para <img border=0 width=71 height=25 id="_x0000_i1048" src="http:/fbpe/img/cubo/v14n2/art02-11.jpg" alt="Descripción: http:/fbpe/img/cubo/v14n2/art02-11.jpg">. Probamos la existencia y unicidad de una solución débil para <img border=0 width=155 height=36 id="_x0000_i1047" src="http:/fbpe/img/cubo/v14n2/art02-05.jpg" alt="Descripción: http:/fbpe/img/cubo/v14n2/art02-05.jpg">, la existencia y unicidad de una solución de entropía para<img border=0 width=42 height=29 id="_x0000_i1046" src="http:/fbpe/img/cubo/v14n2/art02-07.jpg" alt="Descripción: http:/fbpe/img/cubo/v14n2/art02-07.jpg">data f y ö independiente de u y la existencia de soluciones debiles para f dependiente sobre <img border=0 width=179 height=36 id="_x0000_i1045" src="http:/fbpe/img/cubo/v14n2/art02-12.jpg" alt="Descripción: http:/fbpe/img/cubo/v14n2/art02-12.jpg">.<br>We study the existence and uniqueness of weak and entropy solutions for the nonlinear inhomogeneous Neumann boundary value problem involving the <img border=0 width=54 height=28 id="_x0000_i1062" src="http:/fbpe/img/cubo/v14n2/art02-06.jpg" alt="Descripción: http:/fbpe/img/cubo/v14n2/art02-06.jpg">Laplace of the form -<img border=0 width=582 height=24 id="_x0000_i1061" src="http:/fbpe/img/cubo/v14n2/art02-01.jpg" alt="Descripción: http:/fbpe/img/cubo/v14n2/art02-01.jpg"> where <img border=0 width=27 height=28 id="_x0000_i1060" src="http:/fbpe/img/cubo/v14n2/art02-08.jpg" alt="Descripción: http:/fbpe/img/cubo/v14n2/art02-08.jpg">is a smooth bounded open domain in <img border=0 width=228 height=29 id="_x0000_i1059" src="http:/fbpe/img/cubo/v14n2/art02-02.jpg" alt="Descripción: http:/fbpe/img/cubo/v14n2/art02-02.jpg">. We prove the existence and uniqueness of a weak solution for data <img border=0 width=219 height=25 id="_x0000_i1058" src="http:/fbpe/img/cubo/v14n2/art02-03.jpg" alt="Descripción: http:/fbpe/img/cubo/v14n2/art02-03.jpg">, the existence and <img border=0 width=165 height=32 id="_x0000_i1057" src="http:/fbpe/img/cubo/v14n2/art02-04.jpg" alt="Descripción: http:/fbpe/img/cubo/v14n2/art02-04.jpg">uniqueness of an entropy solution for <img border=0 width=42 height=29 id="_x0000_i1056" src="http:/fbpe/img/cubo/v14n2/art02-07.jpg" alt="Descripción: http:/fbpe/img/cubo/v14n2/art02-07.jpg">data f and ö independent of u and the existence of weak solutions for f dependent on u and <img border=0 width=155 height=36 id="_x0000_i1055" src="http:/fbpe/img/cubo/v14n2/art02-05.jpg" alt="Descripción: http:/fbpe/img/cubo/v14n2/art02-05.jpg">.</p>
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