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Volume 7, Issue 5
On Local and Nonlocal Robin Boundary Value Problem with Critical Nonlinearity

Anass Ourraoui

DOI: 10.12150/jnma.2025.1859

J. Nonl. Mod. Anal., 7 (2025), pp. 1859-1869.

Published online: 2025-09

[An open-access article; the PDF is free to any online user.]

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  • Abstract

In this paper, using the Mountain Pass Theorem, we present results on compactness and the existence of solutions for a class of local and nonlocal $p$-Laplacian equations involving Robin boundary conditions, with critical nonlinearity and a small perturbation.

  • Keywords

$p$-Laplacian, Robin problem, critical exponent.

  • AMS Subject Headings

35J30, 35J60, 35J92

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-7-1859, author = {Ourraoui , Anass}, title = {On Local and Nonlocal Robin Boundary Value Problem with Critical Nonlinearity}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2025}, volume = {7}, number = {5}, pages = {1859--1869}, abstract = {

In this paper, using the Mountain Pass Theorem, we present results on compactness and the existence of solutions for a class of local and nonlocal $p$-Laplacian equations involving Robin boundary conditions, with critical nonlinearity and a small perturbation.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2025.1859}, url = {http://global-sci.org/intro/article_detail/jnma/24394.html} }
TY - JOUR T1 - On Local and Nonlocal Robin Boundary Value Problem with Critical Nonlinearity AU - Ourraoui , Anass JO - Journal of Nonlinear Modeling and Analysis VL - 5 SP - 1859 EP - 1869 PY - 2025 DA - 2025/09 SN - 7 DO - http://doi.org/10.12150/jnma.2025.1859 UR - https://global-sci.org/intro/article_detail/jnma/24394.html KW - $p$-Laplacian, Robin problem, critical exponent. AB -

In this paper, using the Mountain Pass Theorem, we present results on compactness and the existence of solutions for a class of local and nonlocal $p$-Laplacian equations involving Robin boundary conditions, with critical nonlinearity and a small perturbation.

Ourraoui , Anass. (2025). On Local and Nonlocal Robin Boundary Value Problem with Critical Nonlinearity. Journal of Nonlinear Modeling and Analysis. 7 (5). 1859-1869. doi:10.12150/jnma.2025.1859
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