Failure of Fredholm solvability for the Dirichlet problem corresponding to weakly elliptic systems

DOI10.1007/978-3-031-25424-6_12zbMath1529.35204OpenAlexW4360971599MaRDI QIDQ6090752

Dorina Mitrea, Marius Mitrea, Irina Mitrea

Publication date: 17 November 2023

Published in: Harmonic Analysis and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-25424-6_12

zbMATH Keywords

weakly elliptic system\(L^p\)-Dirichlet problemfailure of Fredholm solvability

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

• The Dirichlet problem for elliptic systems with data in Köthe function spaces
• A Sharp Divergence Theorem with Nontangential Traces
• Fatou-type theorems and boundary value problems for elliptic systems in the upper half-space
• On the Behaviour of Harmonic Functions at the Boundary
• Distributions, partial differential equations, and harmonic analysis
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