Wiener regularity for large solutions of nonlinear equations

DOI10.1007/BF02390818zbMath1071.35048MaRDI QIDQ1426924

Denis A. Labutin

Publication date: 15 March 2004

Published in: Arkiv för Matematik (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Connections of harmonic functions with differential equations in higher dimensions (31B35)

Related Items (22)

Wiener criteria for existence of large solutions of nonlinear parabolic equations with absorption in a non-cylindrical domain ⋮ Maximal solutions of semilinear elliptic equations with locally integrable forcing term ⋮ Large viscosity solutions for some fully nonlinear equations ⋮ Complete classification of the positive solutions of \(-\Delta u+u^q\) ⋮ Capacitary estimates of solutions of semilinear parabolic equations ⋮ Maximal solutions of the equation \(\Delta u=u^{q}\) in arbitrary domains ⋮ Asymptotic behavior of solutions to the \(\sigma_{k}\)-Yamabe equation near isolated singularities ⋮ Very large solutions for the fractional Laplacian: towards a fractional Keller-Osserman condition ⋮ General uniqueness results for large solutions ⋮ Capacitary estimates of solutions of a class of nonlinear elliptic equations. ⋮ Large solutions of elliptic semilinear equations non-degenerate near the boundary ⋮ Singular solutions for the constant \(Q\)-curvature problem ⋮ Existence and uniqueness to a fully nonlinear version of the Loewner-Nirenberg problem ⋮ Singular solutions of fractional order conformal Laplacians ⋮ Capacitary estimates of positive solutions of semilinear elliptic equations with absorption ⋮ On Uniqueness of Boundary Blow-Up Solutions of a Class of Nonlinear Elliptic Equations ⋮ Maximal solutions for \(-\Delta u+u^q=0\) in open and finely open sets ⋮ On Uniqueness of Large Solutions of Nonlinear Parabolic Equations in Nonsmooth Domains ⋮ Large solutions for Yamabe and similar problems on domains in Riemannian manifolds ⋮ On regularity of a boundary point for higher-order parabolic equations: towards Petrovskii-type criterion by blow-up approach ⋮ Wiener criteria for existence of large solutions of quasilinear elliptic equations with absorption ⋮ Elliptic problems with integral diffusion

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