Symmetrization in Anisotropic Elliptic Problems
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Publication:5294660
DOI10.1080/03605300600634973zbMath1219.35028OpenAlexW2053152860MaRDI QIDQ5294660
Publication date: 25 July 2007
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605300600634973
Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Approximated solutions of equations with \(L^ 1\) data. Application to the \(H\)-convergence of quasilinear parabolic equations
- Symmetrisierung für Funktionen mehrerer reeller Variablen
- Rearrangements and convexity of level sets in PDE
- On the isoperimetric nature of a rearrangement inequality and its consequences for some variational problems
- Growth conditions and regularity. A counterexample
- Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
- Nonlinear elliptic equations, rearrangements of functions and Orlicz spaces
- Weak differentiability for solutions to nonlinear elliptic systems with \(p,q\)-growth conditions
- Best constant in Sobolev inequality
- Symmetrization of functions in Sobolev spaces and the isoperimetric inequality
- Weighted Dirichlet-type inequalities for Steiner symmetrization
- Partial regularity under anisotropic \((p,q)\) growth conditions
- Convex symmetrization and applications
- Steiner symmetrization is continuous in \(W^{1,p}\)
- Isoperimetric inequalities, Wulff shape and related questions for strongly nonlinear elliptic operators
- Sobolev embeddings into BMO, VMO, and \(L_{\infty}\)
- Local boundedness of minimizers of anisotropic functionals
- Optimal Orlicz-Sobolev embeddings
- Existence and nonexistence results for anisotropic quasilinear elliptic equations
- Estimates for the gradient of solutions of nonlinear elliptic equations with \(L^1\) data
- Existence results for nonlinear elliptic equations with degenerate coercivity
- Rearrangements of functions and embedding theorems
- Some remarks on the regularity of minima of anisotropic integrals
- Boundedness of solutions to variational problems under general growth conditions
- A sharp embedding theorem for Orlicz-Sobolev spaces
- Isoperimetric Inequalities in Mathematical Physics. (AM-27)
- A fully anisotropic Sobolev inequality
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