A remark on the existence of viscosity solutions for quasilinear elliptic equations

DOI10.1016/j.na.2005.09.023zbMath1103.35033OpenAlexW2002549355MaRDI QIDQ2493836

Aris S. Tersenov

Publication date: 16 June 2006

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.09.023

zbMATH Keywords

Dirichlet problemviscosity solutionquasilinear elliptic equationPerron method

Mathematics Subject Classification ID

Related Items (1)

Viscosity solutions of a class of degenerate quasilinear parabolic equations with Dirichlet boundary condition

Cites Work

• Interior a priori estimates for solutions of fully nonlinear equations
• A weak Bernstein method for fully non-linear elliptic equations
• Viscosity solutions of fully nonlinear second-order elliptic partial differential equations
• \(W^{1,p}\)-interior estimates for solutions of fully nonlinear, uniformly elliptic equations
• Barriers on cones for uniformly elliptic operators
• Extremal barriers on cones with Phragmén-Lindelöf theorems and other applications
• Hölder gradient estimates for fully nonlinear elliptic equations
• User’s guide to viscosity solutions of second order partial differential equations
• ON THE CLASSICAL SOLUTION OF NONLINEAR ELLIPTIC EQUATIONS OF SECOND ORDER
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