Large nonlinearities and closed linear operators

DOI10.1007/BF00249088zbMath0267.47040MaRDI QIDQ2562613

Karl Gustafson, D. Sather

Publication date: 1973

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Perturbation theory of linear operators (47A55)

Related Items (5)

Galerkin's method for ordinary differential equations subject to generalized nonlinear boundary conditions ⋮ Alternative problems and monotonicity ⋮ Alternative problems for nonlinear equations ⋮ Nonlinear differential equations under Stieltjes boundary conditions ⋮ Projection methods for nonlinear boundary value problems

Cites Work

• Unnamed Item
• On the spectral theory of elliptic differential operators. I
• Theorems on ascent, descent, nullity and defect of linear operators
• Ascent, descent, nullity and defect, a note on a paper by A.E. Taylor
• Alternative problems for nonlinear functional equations
• Spectral analysis using ascent, descent, nullity and defect
• Eigenfunction branches of nonlinear operators, and their bifurcations
• Branching of solutions of an equation in Hilbert space
• Functional analysis and Galerkin's method
• On the complemented subspaces problem
• Necessary and sufficient conditions for Weyl's theorem
• Bifurcation from simple eigenvalues
• Large nonlinearities and monotonicity
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• An Existence Analysis for Nonlinear Equations in Hilbert Space
• Branching of Solutions of Nonlinear Equations
• THE METHODS OF LYAPUNOV AND SCHMIDT IN THE THEORY OF NON-LINEAR EQUATIONS AND THEIR FURTHER DEVELOPMENT
• On Complementary Manifolds and Projections in Spaces L p and l p

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