Existence of solutions for elliptic systems involving operators in divergence form
In this paper, we obtain some results about the existence of solutions to the system $$ -sum_{k,j=1}^{N} frac{partial}{partial x_k}ig(ho_{kj,i} frac{partial u_i}{ partial x_j}ig) +q_iu_i = mu_i m_iu_i+g_i(x,u_1,dots,u_n), $$ for $i=1,dots,n $ defined in $mathbb{R}^N$.
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| Format: | Article |
| Language: | English |
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Texas State University
2007-05-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/conf-proc/16/c1/abstr.html |
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doaj-77e3acd1e4b445109002600403e7b5292020-11-25T01:54:59ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912007-05-01Conference165980Existence of solutions for elliptic systems involving operators in divergence formLaure CardoulisIn this paper, we obtain some results about the existence of solutions to the system $$ -sum_{k,j=1}^{N} frac{partial}{partial x_k}ig(ho_{kj,i} frac{partial u_i}{ partial x_j}ig) +q_iu_i = mu_i m_iu_i+g_i(x,u_1,dots,u_n), $$ for $i=1,dots,n $ defined in $mathbb{R}^N$.http://ejde.math.txstate.edu/conf-proc/16/c1/abstr.htmlElliptic systemssub and super solutionsbifurcation method. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Laure Cardoulis |
| spellingShingle |
Laure Cardoulis Existence of solutions for elliptic systems involving operators in divergence form Electronic Journal of Differential Equations Elliptic systems sub and super solutions bifurcation method. |
| author_facet |
Laure Cardoulis |
| author_sort |
Laure Cardoulis |
| title |
Existence of solutions for elliptic systems involving operators in divergence form |
| title_short |
Existence of solutions for elliptic systems involving operators in divergence form |
| title_full |
Existence of solutions for elliptic systems involving operators in divergence form |
| title_fullStr |
Existence of solutions for elliptic systems involving operators in divergence form |
| title_full_unstemmed |
Existence of solutions for elliptic systems involving operators in divergence form |
| title_sort |
existence of solutions for elliptic systems involving operators in divergence form |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2007-05-01 |
| description |
In this paper, we obtain some results about the existence of solutions to the system $$ -sum_{k,j=1}^{N} frac{partial}{partial x_k}ig(ho_{kj,i} frac{partial u_i}{ partial x_j}ig) +q_iu_i = mu_i m_iu_i+g_i(x,u_1,dots,u_n), $$ for $i=1,dots,n $ defined in $mathbb{R}^N$. |
| topic |
Elliptic systems sub and super solutions bifurcation method. |
| url |
http://ejde.math.txstate.edu/conf-proc/16/c1/abstr.html |
| work_keys_str_mv |
AT laurecardoulis existenceofsolutionsforellipticsystemsinvolvingoperatorsindivergenceform |
| _version_ |
1724985779760922624 |