Bi-Sobolev solutions to the prescribed Jacobian inequality in the plane with \(L^{p}\) data and applications to nonlinear elasticity
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Publication:1993967
DOI10.1016/j.jde.2018.07.045zbMath1406.35493OpenAlexW2886957492WikidataQ129481740 ScholiaQ129481740MaRDI QIDQ1993967
Olivier Kneuss, Julian Fischer
Publication date: 6 November 2018
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2018.07.045
Partial differential inequalities and systems of partial differential inequalities (35R45) Variational methods for elliptic systems (35J50) Second-order elliptic systems (35J47)
Related Items (3)
The Dirichlet problem for the Jacobian equation in critical and supercritical Sobolev spaces ⋮ A least-squares method for the solution of the non-smooth prescribed Jacobian equation ⋮ Energy minimisers with prescribed Jacobian
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