Neumann Problem of Quasilinear Elliptic Equations with Limit Nonlinearity in Boundary Condition

Authors

  • Yaqi Wang

Keywords:

Neumann problem;quasilinear elliptic equation

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.

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Published

2001-08-02

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Issue

Vol. 14 No. 3 (2001)

Section

Articles

How to Cite

Neumann Problem of Quasilinear Elliptic Equations with Limit Nonlinearity in Boundary Condition. (2001). Journal of Partial Differential Equations, 14(3), 265-288. https://global-sci.com/index.php/jpde/article/view/3977