On a quasilinear elliptic equation and a Riemannian metric invariant under Möbius transformations

DOI10.1007/BF01818488zbMath0763.35033WikidataQ115393154 ScholiaQ115393154MaRDI QIDQ1180488

Heinz Leutwiler, Catherine Bandle

Publication date: 27 June 1992

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137427

zbMATH Keywords

quasihyperbolic metricisoperimetric inequalityflat metricmaximal solutionscomparison principle argumentsmetric of negative scalar curvature

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Geometric theory, characteristics, transformations in context of PDEs (35A30) Möbius geometries (51B10) Methods of local Riemannian geometry (53B21)

Related Items (7)

`Large' solutions of semilinear elliptic equations: Existence, uniqueness and asymptotic behaviour ⋮ Uniqueness and layer analysis for boundary blow up solutions ⋮ Exact multiplicity for boundary blow-up solutions ⋮ Remarks on uniqueness of boundary blow-up solutions ⋮ Boundary blow-up solutions and their applications in quasilinear elliptic equations ⋮ Structure of boundary blow-up solutions for quasi-linear elliptic problems. II: Small and intermediate solutions ⋮ Quasilinear elliptic equations with boundary blow-up

Cites Work

• Unnamed Item
• On the inequality \(\Delta u \geqq f (u)\)
• On the torsion function, Green's function and conformal radius: An isoperimetric inequality of Polya and Szegö, some extensions and applications
• Maximum principles and their applications
• Estimates for the boundary values of the solutions of certain nonlinear elliptic equations
• Quasiconformally homogeneous domains
• On a distance invariant under Möbius transformations in R^n
• Singular solutions of some nonlinear elliptic equations

This page was built for publication: On a quasilinear elliptic equation and a Riemannian metric invariant under Möbius transformations