Global \(C^{1,1}\)-regularity for solutions of quasilinear variational inequalities

DOI10.1007/BF00281746zbMath0597.49007OpenAlexW2092591242MaRDI QIDQ1079172

Claus Gerhardt

Publication date: 1985

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00281746

zbMATH Keywords

regularityvariational inequality

Mathematics Subject Classification ID

Variational inequalities (49J40)

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Pointwise accuracy of a finite element method for nonlinear variational inequalities ⋮ Regular versus singular solutions in quasilinear indefinite problems with sublinear potentials ⋮ Well-posedness and dynamic properties of solutions to a class of fourth order parabolic equation with mean curvature nonlinearity ⋮ Second-order boundary regularity for quasilinear variational inequalities ⋮ \(C^{1,\alpha }\) theory for the prescribed mean curvature equation with Dirichlet data ⋮ Characterizing the formation of singularities in a superlinear indefinite problem related to the mean curvature operator ⋮ The classical obstacle problem for nonlinear variational energies ⋮ Semilinear elliptic variational inequalities with dependence on the gradient via mountain pass techniques ⋮ Global components of positive bounded variation solutions of a one-dimensional indefinite quasilinear Neumann problem ⋮ Positive solutions of a one-dimensional indefinite capillarity-type problem: a variational approach ⋮ A logarithmic epiperimetric inequality for the obstacle problem ⋮ Regular versus singular solutions in a quasilinear indefinite problem with an asymptotically linear potential ⋮ Bifurcation of positive solutions for a one-dimensional indefinite quasilinear Neumann problem

Cites Work

• Regularity of solutions of nonlinear variational inequalities
• Hypersurfaces of prescribed man curvatureover obstacles
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