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

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

Year:    2001

Journal of Partial Differential Equations, Vol. 14 (2001), Iss. 3 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2001-JPDE-5485

Journal of Partial Differential Equations, Vol. 14 (2001), Iss. 3 : pp. 265–288

Published online:    2001-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    24

Keywords:    Neumann problem