Relaxed formulation and existence result of the degenerated elliptic small disturbance model

DOI10.1016/j.na.2004.05.009zbMath1058.35005OpenAlexW2050946768MaRDI QIDQ1883452

Yanyan Li

Publication date: 12 October 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.05.009

zbMATH Keywords

integral functionalssubsonic flowsairfoils

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) PDEs of mixed type (35M10) Inverse problems for PDEs (35R30) Degenerate elliptic equations (35J70)

Cites Work

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• Relaxation of quasiconvex functionals in \(BV(\Omega, \mathbb{R}^ N)\) for integrands \(f(x, u, \bigtriangledown u)\)
• Existence theory for a new class of variational problems
• General existence theorems for unilateral problems in continuum mechanics
• Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
• Relaxation of variational problems under trace constraints
• Special functions with bounded variation and with weakly differentiable traces on the jump set
• Weak Convergence of Integrands and the Young Measure Representation
• Weakly Differentiable Functions
• On the lower semicontinuity of quasiconvex integrals in SBV(Ω, Rk)
• Relaxation of vectorial variational problems