A minimum problem with free boundary for a degenerate quasilinear operator
From MaRDI portal
Publication:1776572
DOI10.1007/s00526-004-0294-5zbMath1068.35187OpenAlexW2065818691MaRDI QIDQ1776572
Arshak Petrosyan, Donatella Danielli
Publication date: 12 May 2005
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-004-0294-5
Boundary value problems for higher-order elliptic equations (35J40) Free boundary problems for PDEs (35R35)
Related Items
On the existence of non-flat profiles for a Bernoulli free boundary problem ⋮ Regularity and free boundary regularity for the $p$-Laplace operator in Reifenberg flat and Ahlfors regular domains ⋮ The limit as \(p\to\infty\) in a two-phase free boundary problem for the \(p\)-Laplacian ⋮ Inhomogeneous minimization problems for the \(p(x)\)-Laplacian ⋮ Flatness of Bernoulli jets ⋮ Optimal design problems with fractional diffusions ⋮ Lipschitz continuity of minimizers in a problem with nonstandard growth ⋮ A quantitative form of Faber-Krahn inequality ⋮ An isoperimetric inequality related to a Bernoulli problem ⋮ On the full regularity of the free boundary for minima of Alt–Caffarelli functionals in Orlicz spaces ⋮ The sharp quantitative isocapacitary inequality (the case of \(p\)-capacity) ⋮ Sharp regularity for singular obstacle problems ⋮ Regularity of Lipschitz free boundaries for a \(p(x)\)-Laplacian problem with right hand side ⋮ A transmission problem with (p, q)-Laplacian ⋮ One-phase free-boundary problems with degeneracy ⋮ A minimization problem with free boundary for \(p\)-Laplacian weakly coupled system ⋮ Free boundary regularity for a class of one-phase problems with non-homogeneous degeneracy ⋮ On the full regularity of the free boundary in a class of variational problems ⋮ Existence and regularity properties of non-isotropic singular elliptic equations ⋮ Stratification of free boundary points for a two-phase variational problem ⋮ A limit case in non-isotropic two-phase minimization problems driven by \(p\)-Laplacians ⋮ Uniform Lipschitz regularity for classes of minimizers in two phase free boundary problems in Orlicz spaces with small density on the negative phase ⋮ A new discrete monotonicity formula with application to a two-phase free boundary problem in dimension two ⋮ Free boundary regularity for a degenerate problem with right hand side ⋮ On the Lipschitz regularity of solutions of a minimum problem with free boundary ⋮ A minimum problem with free boundary in Orlicz spaces ⋮ Regularity of flat free boundaries for a \(p(x)\)-Laplacian problem with right hand side ⋮ Free boundary theory for singular/degenerate nonlinear equations with right hand side: a non-variational approach ⋮ An optimization problem with volume constraint in Orlicz spaces ⋮ Symmetry theorems and uniform rectifiability ⋮ A limiting free boundary problem for a degenerate operator in Orlicz-Sobolev spaces ⋮ On the Lipschitz regularity and asymptotic behaviour of the free boundary for classes of minima of inhomogeneous two-phase alt-caffarelli functionals in Orlicz spaces ⋮ Density estimates for a fluid jet model in the Heisenberg group ⋮ Geometric properties of Bernoulli-type minimizers ⋮ Bernoulli jets and the zero mean curvature equation ⋮ An optimization problem with volume constraint for a degenerate quasilinear operator ⋮ Free boundary theory for non-homogeneous fully non-linear equations with unbounded ingredients and quadratic growth in the gradient ⋮ An optimization problem with volume constraint for an inhomogeneous operator with nonstandard growth ⋮ A Free Boundary Problem of a Degenerate Elliptic Equation and Subsonic-Sonic Flows with General Sonic Curves ⋮ On the supremal version of the Alt-Caffarelli minimization problem ⋮ A free boundary and an optimal shape problem of a floating body ⋮ Hausdorff measure estimates and Lipschitz regularity in inhomogeneous nonlinear free boundary problems ⋮ A non-isotropic free transmission problem governed by quasi-linear operators ⋮ Optimization problems for an energy functional with mass constraint revisited ⋮ Bernoulli Free Boundary Problem for the Infinity Laplacian ⋮ Boundary spike of the singular limit of an energy minimizing problem ⋮ Shape optimization problems in control form ⋮ Recent results on nonlinear elliptic free boundary problems ⋮ A limiting free boundary problem ruled by Aronsson’s equation ⋮ A free boundary problem for the \(p(x)\)-Laplacian ⋮ A free boundary problem with subcritical exponents in Orlicz spaces ⋮ Cavity problems in discontinuous media
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Regularity in elliptic free boundary problems. I
- Electrochemical and Electro-Discharge Machining with a Threshold Current
- Existence of classical solutions to a free boundary problem for the p-Laplace operator: (II) the interior convex case
- Existence of classical solutions to a free boundary problem for the p-Laplace operator: (I) the exterior convex case
- On harnack type inequalities and their application to quasilinear elliptic equations
This page was built for publication: A minimum problem with free boundary for a degenerate quasilinear operator