scientific article

zbMath1119.47060MaRDI QIDQ3434021

Martin Väth

Publication date: 23 April 2007

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

upper semicontinuitylower semicontinuityNemytskij operatorsuperposition operatorvector functionVitali convergence theoremmultivalued functiongeneralized ideal spaceautomatic continuity of operators

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Spaces of vector- and operator-valued functions (46E40) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Set-valued operators (47H04) Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10)

Related Items (8)

On the measure of noncompactness in $L_p(\mathbb{R}^+)$ and applications to a product of $n$-integral equations ⋮ Continuity and differentiability of multivalued superposition operators with atoms and parameters. II ⋮ Global solution branches for equations involving nonhomogeneous operators of \(p\)-Laplace type ⋮ Existence of an unbounded branch of the set of solutions for equations of \(p(x)\)-Laplace type ⋮ Continuity and differentiability of multivalued superposition operators with atoms and parameters. I. ⋮ Continuity, compactness, and degree theory for operators in systems involving \(p\)-Laplacians and inclusions ⋮ Degree and global bifurcation for elliptic equations with multivalued unilateral conditions ⋮ Global bifurcation for a class of degenerate elliptic equations with variable exponents

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