Ground states and free boundary value problem for the \(n\)-Laplacian in \(n\) dimensional space

DOI10.1006/jfan.1999.3532zbMath0996.35019OpenAlexW2059981119MaRDI QIDQ1976335

Cecilia S. Yarur, Moxun Tang, James Serrin, Raul F. Manasevich, García-Huidobro, Marta

Publication date: 4 November 2002

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1999.3532

zbMATH Keywords

supercritical nonlinearitiesDirichlet-Neumann free boundary value problem

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Free boundary problems for PDEs (35R35)

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Cites Work

• Unnamed Item
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• Ground states and Dirichlet problems for \(-\Delta u=f(u)\) in \(R^ 2\)
• Uniqueness theorems for positive radial solutions of quasilinear elliptic equations in a ball
• 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
• Existence and non‐existence of radial solutions for elliptic equations with critical exponent in ℝ²
• Existence of ground states and free boundary problems for quasilinear elliptic operators