Unbounded multivalued Nemytskii operators in Sobolev spaces and their applications to discontinuous nonlinearity

DOI10.1216/rmjm/1181072755zbMath0810.35172OpenAlexW2038772839MaRDI QIDQ1201212

Tomasz Kaczynski

Publication date: 17 January 1993

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072755

zbMATH Keywords

partial differential inclusionspartial differential equations with discontinuous nonlinearities

Mathematics Subject Classification ID

PDEs with multivalued right-hand sides (35R70) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items (1)

Fixed point and surjectivity results for e-quasibounded and (mws)-compact multivalued maps and applications

Cites Work

• Solvability of two-point boundary value problems for systems of nonlinear differential equations of the form \(y=g(t,y,y',y)\)
• Convex analysis and measurable multifunctions
• Nonlinear boundary value problems for differential inclusions y ∈ F(t,y,y')
• Set-valued perturbations of differential equations at resonance
• Topological degree methods in multi-valued boundary value problems
• On a class of superlinear elliptic problems
• Elliptic Partial Differential Equations of Second Order
• The obstacle problem and partial differential equations with discontinuous nonlinearities
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