Volume 5, Issue 4
A Priori Estimates and Existence of Positive Solutions to Quasilinear Elliptic Equations in General Form

Wang Xujia

DOI:

J. Part. Diff. Eq.,5(1992),pp.28-36

Published online: 1992-05

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  • Abstract

In this paper we prove the existence of a positive solution to the following superlinear elliptic Dirichlet problem, - Σ^n_{i,j=1}aij(x, u, Du)D_{ij}u = f(x, u, Du) in Ω, \quad u = 0 on ∂Ω where f satisfies certain growth conditions.

  • Keywords

Elliptic equation positive solution

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@Article{JPDE-5-28, author = {Wang Xujia}, title = {A Priori Estimates and Existence of Positive Solutions to Quasilinear Elliptic Equations in General Form}, journal = {Journal of Partial Differential Equations}, year = {1992}, volume = {5}, number = {4}, pages = {28--36}, abstract = { In this paper we prove the existence of a positive solution to the following superlinear elliptic Dirichlet problem, - Σ^n_{i,j=1}aij(x, u, Du)D_{ij}u = f(x, u, Du) in Ω, \quad u = 0 on ∂Ω where f satisfies certain growth conditions.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5751.html} }
TY - JOUR T1 - A Priori Estimates and Existence of Positive Solutions to Quasilinear Elliptic Equations in General Form AU - Wang Xujia JO - Journal of Partial Differential Equations VL - 4 SP - 28 EP - 36 PY - 1992 DA - 1992/05 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5751.html KW - Elliptic equation KW - positive solution AB - In this paper we prove the existence of a positive solution to the following superlinear elliptic Dirichlet problem, - Σ^n_{i,j=1}aij(x, u, Du)D_{ij}u = f(x, u, Du) in Ω, \quad u = 0 on ∂Ω where f satisfies certain growth conditions.
Wang Xujia. (1970). A Priori Estimates and Existence of Positive Solutions to Quasilinear Elliptic Equations in General Form. Journal of Partial Differential Equations. 5 (4). 28-36. doi:
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