On the best constant in a Wente-type inequality for the fractional Laplace operator

DOI10.1002/MMA.3558zbMath1335.35280OpenAlexW1915707369MaRDI QIDQ2800526

Mohamed Jleli, Bessem Samet

Publication date: 15 April 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3558

zbMATH Keywords

best constantfractional LaplacianWente-type inequality

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) A priori estimates in context of PDEs (35B45) Fractional partial differential equations (35R11)

Related Items (1)

Nonexistence results for some nonlinear nonlocal elliptic inequalities with variable exponents

Cites Work

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• 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
• The Wente problem associated to the modified Helmholtz operator
• An existence theorem for surfaces of constant mean curvature
• THE WENTE PROBLEM IN HIGHER DIMENSIONS
• 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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