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Volume 30, Issue 3
Entropy Solution to Nonlinear Elliptic Problem with Non-local Boundary Conditions and L¹-data

Stanislas Ouaro & Safimba Soma

DOI: 10.4208/jpde.v30.n3.2

J. Part. Diff. Eq., 30 (2017), pp. 201-220.

Published online: 2017-08

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  • Abstract

We study a nonlinear elliptic problem with non-local boundary conditions and L¹-data. We prove an existence and uniqueness result of an entropy solution.

  • Keywords

Entropy solution non-local boundary conditions Leray-Lions operator

  • AMS Subject Headings

35J05, 35J25, 35J60, 35J66

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

ouaro@yahoo.fr (Stanislas Ouaro)

somasaf2000@yahoo.fr (Safimba Soma)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-30-201, author = {Ouaro , Stanislas and Soma , Safimba}, title = {Entropy Solution to Nonlinear Elliptic Problem with Non-local Boundary Conditions and L¹-data}, journal = {Journal of Partial Differential Equations}, year = {2017}, volume = {30}, number = {3}, pages = {201--220}, abstract = {

We study a nonlinear elliptic problem with non-local boundary conditions and L¹-data. We prove an existence and uniqueness result of an entropy solution.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v30.n3.2}, url = {http://global-sci.org/intro/article_detail/jpde/10465.html} }
TY - JOUR T1 - Entropy Solution to Nonlinear Elliptic Problem with Non-local Boundary Conditions and L¹-data AU - Ouaro , Stanislas AU - Soma , Safimba JO - Journal of Partial Differential Equations VL - 3 SP - 201 EP - 220 PY - 2017 DA - 2017/08 SN - 30 DO - http://doi.org/10.4208/jpde.v30.n3.2 UR - https://global-sci.org/intro/article_detail/jpde/10465.html KW - Entropy solution KW - non-local boundary conditions KW - Leray-Lions operator AB -

We study a nonlinear elliptic problem with non-local boundary conditions and L¹-data. We prove an existence and uniqueness result of an entropy solution.

Ouaro , Stanislas and Soma , Safimba. (2017). Entropy Solution to Nonlinear Elliptic Problem with Non-local Boundary Conditions and L¹-data. Journal of Partial Differential Equations. 30 (3). 201-220. doi:10.4208/jpde.v30.n3.2
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