Superposition of \(p\)-superharmonic functions

DOI10.1515/acv-2017-0030zbMath1464.35136arXiv1705.08203OpenAlexW2963842549MaRDI QIDQ2174611

Karl K. Brustad

Publication date: 21 April 2020

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.08203

zbMATH Keywords

superposition principle\(p\)-Laplacian

Mathematics Subject Classification ID

Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

Concave power solutions of the dominative \(p\)-Laplace equation, Sobolev gradients of viscosity supersolutions, Game-theoretic approach to Hölder regularity for PDEs involving eigenvalues of the Hessian, Stability theorems for H-type Carnot groups

Cites Work

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• Isoparametric functions on Riemannian manifolds. I
• Superharmonicity of nonlinear ground states
• On the Dirichlet problems for symmetric function equations of the eigenvalues of the complex Hessian
• A beginner's guide to the theory of viscosity solutions
• Hessian measures. II
• Superposition in the \(p\)-Laplace equation
• On the Equivalence of Viscosity Solutions and Weak Solutions for a Quasi-Linear Equation
• Notes on the Infinity Laplace Equation
• Riesz potentials and p -superharmonic functions in Lie groups of Heisenberg type
• An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L∞
• Geometry of Hypersurfaces
• The Dirichlet problem for the convex envelope
• Another way to say harmonic
• On the definition and properties of p-superharmonic functions.
• User’s guide to viscosity solutions of second order partial differential equations
• Elliptic Partial Differential Equations of Second Order
• Note on a remarkable superposition for a nonlinear equation