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Volume 58, Issue 3
On a Class of Degenerate Nonlinear Elliptic Equations in Weighted Sobolev Spaces

Albo Carlos Cavalheiro

J. Math. Study, 58 (2025), pp. 362-379.

Published online: 2025-09

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  • Abstract

In this paper we are interested in the existence of solutions for Dirichlet problem associated to the degenerate nonlinear elliptic equations

image.png

in the setting of the weighted Sobolev spaces $W^{1,p}_ 0 (Ω,ω).$

  • AMS Subject Headings

35J70, 35J60

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COPYRIGHT: © Global Science Press

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@Article{JMS-58-362, author = {Cavalheiro , Albo Carlos}, title = {On a Class of Degenerate Nonlinear Elliptic Equations in Weighted Sobolev Spaces}, journal = {Journal of Mathematical Study}, year = {2025}, volume = {58}, number = {3}, pages = {362--379}, abstract = {

In this paper we are interested in the existence of solutions for Dirichlet problem associated to the degenerate nonlinear elliptic equations

image.png

in the setting of the weighted Sobolev spaces $W^{1,p}_ 0 (Ω,ω).$

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v58n3.25.07}, url = {http://global-sci.org/intro/article_detail/jms/24413.html} }
TY - JOUR T1 - On a Class of Degenerate Nonlinear Elliptic Equations in Weighted Sobolev Spaces AU - Cavalheiro , Albo Carlos JO - Journal of Mathematical Study VL - 3 SP - 362 EP - 379 PY - 2025 DA - 2025/09 SN - 58 DO - http://doi.org/10.4208/jms.v58n3.25.07 UR - https://global-sci.org/intro/article_detail/jms/24413.html KW - Degenerate nonlinear elliptic equations, weighted Sobolev spaces, $A_p$-weights. AB -

In this paper we are interested in the existence of solutions for Dirichlet problem associated to the degenerate nonlinear elliptic equations

image.png

in the setting of the weighted Sobolev spaces $W^{1,p}_ 0 (Ω,ω).$

Cavalheiro , Albo Carlos. (2025). On a Class of Degenerate Nonlinear Elliptic Equations in Weighted Sobolev Spaces. Journal of Mathematical Study. 58 (3). 362-379. doi:10.4208/jms.v58n3.25.07
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