Existence and uniqueness results in weighted spaces for Dirichlet problem in unbounded domains

DOI10.1007/s11587-019-00465-9zbMath1440.35078OpenAlexW2981351444MaRDI QIDQ2184199

Patrizia Di Gironimo

Publication date: 27 May 2020

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-019-00465-9

zbMATH Keywords

Dirichlet problemdiscontinuous coefficientselliptic equationsexistence and uniqueness

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) PDEs with low regular coefficients and/or low regular data (35R05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Analysis of a nonlinear reaction-diffusion system of the FitzHugh-Nagumo type with Robin boundary conditions ⋮ Existence and regularity of the solutions to degenerate elliptic equations in Carnot-Carathéodory spaces

Cites Work

• Well-posedness in weighted Sobolev spaces for elliptic equations of Cordes type
• \(W^{2,2}\) a priori bounds for a class of elliptic operators
• Second order elliptic equations whose coefficients have their first derivatives weakly-\(L^ n\)
• Second order elliptic equations of variational type in unbounded domains
• \(W^{2,2}\)-solvability of the Dirichlet problem for a class of elliptic equations with discontinuous coefficients
• Uniqueness results for higher order elliptic equations in weighted Sobolev spaces
• Sulle equazioni ellittiche del secondo ordine di tipo non variazionale a coefficienti discontinui
• A weighted \(W^{2,p}\)-a priori bound for a class of elliptic operators
• On the general homogenization of von Kármán plate equations from three-dimensional nonlinear elasticity
• W 2,p -Solvability of the Dirichlet Problem for Nondivergence Elliptic Equations with VMO Coefficients
• Higher integrability of minimizers of degenerate functionals in Carnot–Carathéodory spaces
• Elliptic equations with discontinuous coefficients in weighted Sobolev spaces on unbounded domains
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