Positive solutions of nonlinear \(p\)-Laplacian equations in \(\mathbb R^n\)

DOI10.1016/j.jmaa.2005.11.019zbMath1151.35356OpenAlexW2059712011MaRDI QIDQ820011

Haihong Liu, Ning Su

Publication date: 6 April 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.11.019

zbMATH Keywords

\(p\)-Laplacian equationentire positive solutioninfinitely many solutionsasymptotic behavior at infinity

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Positive solutions of a class of second order semilinear elliptic equations in the plane
• Positive solutions for a quasilinear degenerate elliptic equation in \(\mathbb R^ N\)
• On the elliptic equation \(\Delta \omega + K(x)e^{2\omega} = 0\) and conformal metrics with prescribed Gaussian curvatures
• On positive solutions of -Delta(u)=F(x,u)
• The existence of solutions to a class of semilinear differential equations
• Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
• Existence and uniqueness of nonnegative solutions of quasilinear equations in \(\mathbb{R}^ n\)
• Semilinear Dirichlet problems for the \(N\)-Laplacian in \(\mathbb{R}^ N\) with nonlinearities in the critical growth range
• Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e^uin two dimensions
• On the nonlinear equations Δ𝑢+𝑒^{𝑢}=0 and ∂𝑣/∂𝑡=Δ𝑣+𝑒^{𝑣}

This page was built for publication: Positive solutions of nonlinear \(p\)-Laplacian equations in \(\mathbb R^n\)