Positive eigenvalues for nonlinear multivalued noncompact operators with applications to differential operators

DOI10.1016/0022-0396(76)90038-3zbMath0352.47028OpenAlexW2054775370MaRDI QIDQ1235895

W. V. Petryshyn, Patrick M. Fitzpatrick

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1016/0022-0396(76)90038-3

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Equations involving nonlinear operators (general) (47J05) Spectral theory and eigenvalue problems for partial differential equations (35P99) Nonlinear elliptic equations (35J60) General theory of partial differential operators (47F05) Ordered topological linear spaces, vector lattices (46A40)

Related Items (12)

Existence of nonzero fixed points for noncompact mappings in wedges and cones ⋮ A fixed point index for generalized inward mappings of condensing type ⋮ Condensing operators ⋮ A fixed point index for weakly inward A-proper maps ⋮ On the eigenvalue problem for perturbations of nonlinear accretive and monotone operators in banach spaces ⋮ An extension of guo's theorem on domain compression and expansion ⋮ A note about essentiality and inessentiality of compact fields ⋮ A generalization of Krasnoselskii's eigenvalue theorem ⋮ Positive eigenvectors of k-set contractions ⋮ On the solvability of x∈Tx+λFx in quasinormal cones with T and F k-set-contractive ⋮ Multivalued mappings ⋮ Some results on positive eigenvalues of admissible maps

Cites Work

• On nonlinear positive operators
• On the spectral theory of elliptic differential operators. I
• Concave solutions of singular non-linear differential equations
• Existence theorems for a class of non-linear integral equations
• Asymptotic fixed point theorems for local condensing maps
• A Degree Theory, Fixed Point Theorems, and Mapping Theorems for Multivalued Noncompact Mappings
• Fixed Point Theorems and the Fixed Point Index for Multivalued Mappings in Cones
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