The Structure of a Nonlinear Elliptic Operator

DOI10.2307/2154442zbMath0786.35054OpenAlexW4255920752MaRDI QIDQ4201523

James G. Timourian, P. T. Church, E. Norman Dancer

Publication date: 25 August 1993

Full work available at URL: https://doi.org/10.2307/2154442

zbMATH Keywords

Sobolev spaceHölder spacenonlinear Dirichlet problemfold pointellptic operator

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Equations involving nonlinear operators (general) (47J05) Applications of operator theory to differential and integral equations (47N20) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)

Related Items

Local algebras of differential operators, Branched folded maps and alternating Beltrami equations, A finite element method for computing the bifurcation function for semilinear elliptic BVPs, Oriented global fold maps in differential and integral equations, The global attractor for a Chafee-Infante problem with source term, Fibers and global geometry of functions, Global solution curves in harmonic parameters, and multiplicity of solutions, Bounds on the number of solutions for elliptic equations with polynomial nonlinearities, Detection of high codimensional bifurcations in variational PDEs

Cites Work

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• Examples of global normal forms for some simple nonlinear integral operators
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