Continuity, compactness, and degree theory for operators in systems involving \(p\)-Laplacians and inclusions

DOI10.1016/j.jde.2008.05.011zbMath1165.47060OpenAlexW2061256284WikidataQ57363399 ScholiaQ57363399MaRDI QIDQ942177

Martin Väth

Publication date: 4 September 2008

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2008.05.011

zbMATH Keywords

Orlicz spacedegreesystem\(p\)-Laplace operatorelliptic equationinclusiongeneralized \(p\)-Laplaciangeneralized ideal space

Mathematics Subject Classification ID

Related Items (5)

Continuity and differentiability of multivalued superposition operators with atoms and parameters. II ⋮ Existence and multiplicity of solutions for a Neumann problem involving the \(p(x)\)-Laplace operator ⋮ The essential spectral radius of Volterra operators and an application to Volterra-Hammerstein functional inclusions ⋮ Constant sign and nodal solutions for problems with the \(p\)-Laplacian and a nonsmooth potential using variational techniques ⋮ New beams of global bifurcation points for a reaction-diffusion system with inequalities or inclusions

Cites Work

• Multivalued mappings
• Fixed point index and chain approximations
• On the homotopy method in the fixed point index theory of multi-valued mappings of compact absolute neighborhood retracts
• Convex analysis and measurable multifunctions
• Fixed-point index for compositions of set-valued maps with proximally \(\infty\)-connected values on arbitrary ANR's
• Ideal spaces
• Filippov implicit function theorem for quasi-Carathéodory functions
• Asymptotic boundary value problems in Banach spaces
• The fixed-point index for the class of compositions of acyclic set-valued maps on ANR-s
• Multivalued analysis and operator inclusions
• Degree and global bifurcation for elliptic equations with multivalued unilateral conditions
• Change of variables for absolutely continuous functions
• Implicit function theorem in topological spaces
• TOPOLOGICAL METHODS IN THE FIXED-POINT THEORY OF MULTI-VALUED MAPS
• Measurable Multifunctions In Nonseparable Banach spaces
• On Certain Questions in the Theory of Optimal Control
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Continuity, compactness, and degree theory for operators in systems involving \(p\)-Laplacians and inclusions