Boundary value problems for quasi-linear elliptic second order equations in unbounded cone-like domains

DOI10.2478/s11533-012-0127-2zbMath1266.35035OpenAlexW2034672381MaRDI QIDQ1935665

Damian Wiśniewski, Mikhail Borsuk

Publication date: 18 February 2013

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-012-0127-2

zbMATH Keywords

weak solutionunbounded domainelliptic divergence quasi-linear equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Integral representations of solutions to PDEs (35C15) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45) Second-order elliptic equations (35J15) Weak solutions to PDEs (35D30) Quasilinear elliptic equations (35J62) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

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Cites Work

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• Positive solutions to superlinear second-order divergence type elliptic equations in cone-like domains.
• Existence of solutions for quasilinear elliptic boundary value problems in unbounded domains
• Transmission Problems for Elliptic Second-Order Equations in Non-Smooth Domains
• Boundary regularity for solutions of degenerate elliptic equations
• Nonlinear elliptic boundary-value problems in unbounded domains

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