Numerical approximation of variational problems with orthotropic growth

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Degenerate elliptic equations (35J70) Singular elliptic equations (35J75)

Cites Work

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Parabolic systems with \({p,q}\)-growth: a variational approach
Integrability for solutions to some anisotropic elliptic equations
A multiplicity result for an elliptic anisotropic differential inclusion involving variable exponents
Lebesgue and Sobolev spaces with variable exponents
Anisotropic equations: uniqueness and existence results.
Anisotropic elliptic problems with natural growth terms
On the Lipschitz character of orthotropic \(p\)-harmonic functions
\(C^1\) regularity of orthotropic \(p\)-harmonic functions in the plane
New a priori estimates of solutions to anisotropic elliptic equations
Remarks on a paper by Leonetti and Siepe
Limits of anisotropic and degenerate elliptic problems
Behaviour of \(p\)-Laplacian problems with Neumann boundary conditions when \(p\) goes to \(1\)
On the global regularity for minimizers of variational integrals: splitting-type problems in 2D and extensions to the general anisotropic setting
A relaxed Kačanov iteration for the \(p\)-Poisson problem
Gradient bounds for anisotropic partial differential equations
Existence and uniqueness for nonlinear anisotropic elliptic equations
Anisotropic elliptic equations with general growth in the gradient and Hardy-type potentials
Interpolation operators in Orlicz--Sobolev spaces
Boundary regularity for elliptic systems with \(p,q\)-growth
Anisotropic parabolic problems with Orlicz data
Existence of solutions of anisotropic elliptic equations with nonpolynomial nonlinearities in unbounded domains
Fractional estimates for non-differentiable elliptic systems with general growth
Finite Element Approximation of the p-Laplacian
New development in freefem++
Existence and Regularity Results for Anisotropic Elliptic Problems
A total variation diminishing interpolation operator and applications
Anisotropic Variable Exponent (p(·), q(·))-Laplacian with Large Exponents
Function Spaces
The \texttt{deal.II} library, version 9.5
Relaxed Kačanov Scheme for the \(\boldsymbol{p}\)-Laplacian with Large Exponent

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