Integrability of \(\operatorname{det}\nabla u\) and evolutionary Wente's problem associated to heat operator

DOI10.1007/S11401-006-0111-XzbMath1145.35394OpenAlexW2470272569MaRDI QIDQ926531

Mohamed Jleli, Makkia Dammak, Dong Ye, Sami Baraket

Publication date: 20 May 2008

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-006-0111-x

zbMATH Keywords

heat equationJacobian determinantunbouded domainWente's problem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20)

Related Items (2)

Best constant involving the \(L^{\infty}\) norm of evolutionary Wente's problem associated to wave operator ⋮ The Wente problem associated to the modified Helmholtz operator

Cites Work

• Unnamed Item
• Large solutions to the volume constrained Plateau problem
• Continuity of solutions of uniformly elliptic equations in \(\mathbb{R}^ 2\)
• Estimations of the best constant involving the \(L^ \infty\) norm in Wente's inequality
• The optimal constant in Wente's \(L^\infty\) estimate
• Compensated compactness and Hardy spaces
• Improved regularity of solutions to elliptic equations involving Jacobians and applications
• An existence theorem for surfaces of constant mean curvature
• Multiple solutions ofH-systems and Rellich's conjecture
• Estimations of the best constant involving the L²norm in Wente's inequality and compact H-surfaces in Euclidean space

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