Nonlinear perturbations of linear non-invertible boundary value problems in function spaces of type $B^s_{p,q}$ and $F^s_{p,q}$

Jens Franke; Thomas Runst

Displaying similar documents to “Nonlinear perturbations of linear non-invertible boundary value problems in function spaces of type $B_{p, q}^{s}$ and $F_{p, q}^{s}$ ”

Gradient estimates for elliptic systems in Carnot-Carathéodory spaces

Giuseppe Di Fazio, Maria Stella Fanciullo (2002)

Commentationes Mathematicae Universitatis Carolinae

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Let $X = (X_{1}, X_{2}, \dots, X_{q})$ be a system of vector fields satisfying the Hörmander condition. We prove $L_{X}^{2, λ}$ local regularity for the gradient $X u$ of a solution of the following strongly elliptic system $- X_{α}^{*} (a_{i j}^{α β} (x) X_{β} u^{j}) = g_{i} - X_{α}^{*} f_{i}^{α} (x) \forall i = 1, 2, \dots, N,$ where $a_{i j}^{α β} (x)$ are bounded functions and belong to Vanishing Mean Oscillation space.

On the sets of regularity of solutions for a class of degenerate nonlinear elliptic fourth-order equations with $L^{1}$ data.

Bonafede, S., Nicolosi, F. (2007)

Boundary Value Problems [electronic only]

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Mapping properties of regular and strongly degenerate elliptic differential operators in the Besov spaces $B_{p, p}^{s} (Ω)$ . The case $0 < p < \infty$

Triebel, H.

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Displaying similar documents to “Nonlinear perturbations of linear non-invertible boundary value problems in function spaces of type B p , q s and F p , q s ”

Gradient estimates for elliptic systems in Carnot-Carathéodory spaces

On the sets of regularity of solutions for a class of degenerate nonlinear elliptic fourth-order equations with L 1 data.

Mapping properties of regular and strongly degenerate elliptic differential operators in the Besov spaces B p , p s ( Ω ) . The case 0 < p < ∞

Displaying similar documents to “Nonlinear perturbations of linear non-invertible boundary value problems in function spaces of type $B_{p, q}^{s}$ and $F_{p, q}^{s}$ ”

On the sets of regularity of solutions for a class of degenerate nonlinear elliptic fourth-order equations with $L^{1}$ data.

Mapping properties of regular and strongly degenerate elliptic differential operators in the Besov spaces $B_{p, p}^{s} (Ω)$ . The case $0 < p < \infty$