Local estimates for the first derivatives of solutions of quasi-linear second-order elliptic equations and their application to Liouville-type theorems

DOI10.1007/BF01084916zbMath0342.35022OpenAlexW2006246734MaRDI QIDQ1232034

A. V. Ivanov

Publication date: 1976

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01084916

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Second-order elliptic equations (35J15)

Related Items (1)

Liouville theorems for elliptic systems of arbitrary order

Cites Work

• Maximum growth of the coefficients of quasilinear elliptic equations
• Structure of quasi-linear second-order elliptic equations
• Local estimates for the maximum modulus of the first derivatives of solutions of quasilinear nonuniformly elliptic and nonuniformly parabolic equations and systems of general type
• Local estimates for gradients of solutions of non‐uniformly elliptic and parabolic equations

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