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Volume 32, Issue 3
Structural Stability of p(x)-Laplace Problems with Fourier Type Boundary Condition

Kpe Kansie & Stanislas Ouaro

DOI: 10.4208/jpde.v32.n3.3

J. Part. Diff. Eq., 32 (2019), pp. 229-268.

Published online: 2019-10

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  • Abstract

We study the continuous dependence on coefficients of solutions of the nonlinear nonhomogeneous Fourier boundary value problems involving the p(x)-Laplace operator.

  • Keywords

Generalized Lebesgue and Sobolev spaces Leray-Lions operator weak solution renormalized solution Thermorheological fluids continuous dependence Fourier type boundary condition Young measures.

  • AMS Subject Headings

35J60, 35D05, 76A05

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

kansiek@yahoo.fr (Kpe Kansie)

ouaro@yahoo.fr (Stanislas Ouaro)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-32-229, author = {Kansie , Kpe and Ouaro , Stanislas}, title = {Structural Stability of p(x)-Laplace Problems with Fourier Type Boundary Condition}, journal = {Journal of Partial Differential Equations}, year = {2019}, volume = {32}, number = {3}, pages = {229--268}, abstract = {

We study the continuous dependence on coefficients of solutions of the nonlinear nonhomogeneous Fourier boundary value problems involving the p(x)-Laplace operator.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v32.n3.3}, url = {http://global-sci.org/intro/article_detail/jpde/13341.html} }
TY - JOUR T1 - Structural Stability of p(x)-Laplace Problems with Fourier Type Boundary Condition AU - Kansie , Kpe AU - Ouaro , Stanislas JO - Journal of Partial Differential Equations VL - 3 SP - 229 EP - 268 PY - 2019 DA - 2019/10 SN - 32 DO - http://doi.org/10.4208/jpde.v32.n3.3 UR - https://global-sci.org/intro/article_detail/jpde/13341.html KW - Generalized Lebesgue and Sobolev spaces KW - Leray-Lions operator KW - weak solution KW - renormalized solution KW - Thermorheological fluids KW - continuous dependence KW - Fourier type boundary condition KW - Young measures. AB -

We study the continuous dependence on coefficients of solutions of the nonlinear nonhomogeneous Fourier boundary value problems involving the p(x)-Laplace operator.

Kpe Kansie & Stanislas Ouaro. (2019). Structural Stability of p(x)-Laplace Problems with Fourier Type Boundary Condition. Journal of Partial Differential Equations. 32 (3). 229-268. doi:10.4208/jpde.v32.n3.3
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