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Volume 23, Issue 2
Existence of Solutions to a Semilinear Elliptic System Through Generalized Orlicz-Sobolev Spaces

M. Hsini

DOI: 10.4208/jpde.v23.n2.4

J. Part. Diff. Eq., 23 (2010), pp. 168-193.

Published online: 2010-05

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  • Abstract

This paper is concerned with the existence theory of a semilinear elliptic system. In particular, we will prove that the system has a nontrivial positive solution in some appropriate solution spaces.

  • Keywords

Laplace operator n-function generalized Orlicz space generalized Orlicz Sobolev space Orlicz indices Boyd exponents

  • AMS Subject Headings

35B40 35B05 35J60

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-23-168, author = {M. Hsini }, title = {Existence of Solutions to a Semilinear Elliptic System Through Generalized Orlicz-Sobolev Spaces}, journal = {Journal of Partial Differential Equations}, year = {2010}, volume = {23}, number = {2}, pages = {168--193}, abstract = {

This paper is concerned with the existence theory of a semilinear elliptic system. In particular, we will prove that the system has a nontrivial positive solution in some appropriate solution spaces.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v23.n2.4}, url = {http://global-sci.org/intro/article_detail/jpde/5227.html} }
TY - JOUR T1 - Existence of Solutions to a Semilinear Elliptic System Through Generalized Orlicz-Sobolev Spaces AU - M. Hsini JO - Journal of Partial Differential Equations VL - 2 SP - 168 EP - 193 PY - 2010 DA - 2010/05 SN - 23 DO - http://doi.org/10.4208/jpde.v23.n2.4 UR - https://global-sci.org/intro/article_detail/jpde/5227.html KW - Laplace operator KW - n-function KW - generalized Orlicz space KW - generalized Orlicz Sobolev space KW - Orlicz indices KW - Boyd exponents AB -

This paper is concerned with the existence theory of a semilinear elliptic system. In particular, we will prove that the system has a nontrivial positive solution in some appropriate solution spaces.

M. Hsini . (2010). Existence of Solutions to a Semilinear Elliptic System Through Generalized Orlicz-Sobolev Spaces. Journal of Partial Differential Equations. 23 (2). 168-193. doi:10.4208/jpde.v23.n2.4
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