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Volume 14, Issue 3
Neumann Problem of Quasilinear Elliptic Equations with Limit Nonlinearity in Boundary Condition

Yaqi Wang

J. Part. Diff. Eq., 14 (2001), pp. 265-288.

Published online: 2001-08

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  • Abstract
This paper is concerned with the existence of solutions to the equation D_j(a^{ij}(x,u)D_i,u)-\frac{1}{2}D_sa^{ij}(x,u)D_iuD_ju + λ u = 0 on a bounded domain under the Neumann boundary condition a{ij}(x,u)D_iuϒ_j = lul^{\frac{2}{n-2}}u.
  • Keywords

Neumann problem quasilinear elliptic equation

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@Article{JPDE-14-265, author = {}, title = {Neumann Problem of Quasilinear Elliptic Equations with Limit Nonlinearity in Boundary Condition}, journal = {Journal of Partial Differential Equations}, year = {2001}, volume = {14}, number = {3}, pages = {265--288}, abstract = { This paper is concerned with the existence of solutions to the equation D_j(a^{ij}(x,u)D_i,u)-\frac{1}{2}D_sa^{ij}(x,u)D_iuD_ju + λ u = 0 on a bounded domain under the Neumann boundary condition a{ij}(x,u)D_iuϒ_j = lul^{\frac{2}{n-2}}u.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5485.html} }
TY - JOUR T1 - Neumann Problem of Quasilinear Elliptic Equations with Limit Nonlinearity in Boundary Condition JO - Journal of Partial Differential Equations VL - 3 SP - 265 EP - 288 PY - 2001 DA - 2001/08 SN - 14 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5485.html KW - Neumann problem KW - quasilinear elliptic equation AB - This paper is concerned with the existence of solutions to the equation D_j(a^{ij}(x,u)D_i,u)-\frac{1}{2}D_sa^{ij}(x,u)D_iuD_ju + λ u = 0 on a bounded domain under the Neumann boundary condition a{ij}(x,u)D_iuϒ_j = lul^{\frac{2}{n-2}}u.
Yaqi Wang . (2019). Neumann Problem of Quasilinear Elliptic Equations with Limit Nonlinearity in Boundary Condition. Journal of Partial Differential Equations. 14 (3). 265-288. doi:
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