Folds and Cusps in Banach Spaces with Applications to Nonlinear Partial Differential Equations. II

DOI10.2307/2000760zbMath0667.58001OpenAlexW4247612109MaRDI QIDQ3819721

P. T. Church, James G. Timourian, Melvyn S. Berger

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2000760

zbMATH Keywords

fold and cusp maps on Banach spacesinhomogeneous nonlinear Dirichlet problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Equations involving nonlinear operators (general) (47J05) Bifurcation and buckling (74G60) 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, The Structure of a Nonlinear Elliptic Operator, Global fold maps in differential and integral equations, An application of singularity theory to nonlinear differentiable mappings between Banach spaces, Oriented global fold maps in differential and integral equations, Uniqueness for small solutions to a superlinear boundary value problem at resonance, Singularities in Quasi‐Banach Spaces with Applications to Semilinear Elliptic Equations I, MORPHOLOGY OF THE PHASE SPACE OF ONE MATHEMATICAL MODEL OF A NERVE IMPULSE PROPAGATION IN THE MEMBRANE SHELL, Topological instabilities in families of semilinear parabolic problems subject to nonlinear perturbations, Number of Solutions with a Norm Bounded by a Given Constant of a Semilinear Elliptic PDE with a Generic Right-Hand Side, Global solution curves in harmonic parameters, and multiplicity of solutions, Global cusp maps in differential and integral equations, Detection of high codimensional bifurcations in variational PDEs

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