Large solutions for the infinity Laplacian

DOI10.1515/ACV.2008.011zbMath1158.35371WikidataQ109406484 ScholiaQ109406484MaRDI QIDQ3546160

Julio D. Rossi, Petri Juutinen

Publication date: 18 December 2008

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

zbMATH Keywords

large solutionsinfinity Laplacian

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Degenerate elliptic equations (35J70)

Related Items (14)

The exact asymptotic behavior of blow-up solutions to a highly degenerate elliptic problem ⋮ Large viscosity solutions for some fully nonlinear equations ⋮ BOUNDARY BLOW-UP SOLUTIONS TO EQUATIONS INVOLVING THE INFINITY LAPLACIAN ⋮ Degenerate homogeneous parabolic equations associated with the infinity-Laplacian ⋮ Asymptotic boundary estimates to infinity Laplace equations with \(\Gamma\)-varying nonlinearity ⋮ The second order expansion of boundary blow-up solutions for infinity-Laplacian equations ⋮ Large solutions to quasilinear problems involving the \(p\)-Laplacian as \(p\) diverges ⋮ Boundary behavior of large viscosity solutions to infinity Laplace equations ⋮ The exact asymptotic behavior of boundary blow-up solutions to infinity Laplacian equations ⋮ On boundary blow-up solutions to equations involving the \(\infty \)-Laplacian ⋮ Large solutions for a class of semilinear integro-differential equations with censored jumps ⋮ Large solutions to elliptic systems of \(\infty \)-Laplacian equations ⋮ Boundary blow-up solutions to degenerate elliptic equations with non-monotone inhomogeneous terms ⋮ Large solutions of a class of degenerate equations associated with infinity Laplacian

Cites Work

• Relaxation of quasiconvex functionals in \(BV(\Omega, \mathbb{R}^ N)\) for integrands \(f(x, u, \bigtriangledown u)\)
• \(L^\infty\) variational problems and Aronsson equations
• Extension of functions satisfying Lipschitz conditions
• On solutions of δu=f(u)
• Explosive solutions of quasilinear elliptic equations: existence and uniqueness
• The infinity Laplacian, Aronsson's equation and their generalizations
• Generalized Cone Comparison Principle for Viscosity Solutions of the Aronsson Equation and Absolute Minimizers
• Unnamed Item

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