Coercive estimates for a degenerate elliptic system of equations with spectral applications

DOI10.1016/j.aml.2011.04.006zbMath1219.35083OpenAlexW1973143118MaRDI QIDQ548418

Kordan N. Ospanov

Publication date: 28 June 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.04.006

zbMATH Keywords

\(s\)-numberscoercive estimatescompactness of the resolventsolvability of the degenerate system

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Degenerate elliptic equations (35J70) A priori estimates in context of PDEs (35B45) Second-order elliptic systems (35J47)

Related Items (5)

On smoothness property of third-order differential operator ⋮ MAXIMAL REGULARITY ESTIMATES FOR HIGHER ORDER DIFFERENTIAL EQUATIONS WITH FLUCTUATING COEFFICIENTS ⋮ Solvability of a class of mixed type second order equations and nonlocal estimates ⋮ Solvability of nonlinear problem for some second-order nonstrongly elliptic system ⋮ Qualitative and approximate characteristics of solutions of Beltrami-type systems

Cites Work

• On the nonlinear generalized Cauchy-Riemann system on the whole plane
• Regularity results for degenerate elliptic systems
• EXISTENCE RESULT FOR NONUNIFORMLY DEGENERATE SEMILINEAR ELLIPTIC SYSTEMS IN^N
• Harnack's inequality and mean—value inequalities for solutions of degenerate elliptic equations
• IMBEDDING THEOREMS AND COMPACTNESS FOR SPACES OF SOBOLEV TYPE WITH WEIGHTS. II
• Regularity theorems for weak solutions of some nonlinear systems
• $C^\alpha (\bar \Omega )$ Solutions of a Class of Nonlinear Degenerate Elliptic Systems Arising in the Thermistor Problem
• Some Properties of the Domains of Certain Differential Operators
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