Fixed point theorems for a class of nonlinear operators in Hilbert spaces and applications

DOI10.1007/S11117-010-0095-3zbMath1234.49009OpenAlexW2002328302MaRDI QIDQ655981

Jingxian Sun, Yujun Cui

Publication date: 26 January 2012

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-010-0095-3

zbMATH Keywords

fixed point theoremdynamic equationtopological and variational method

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Existence of solutions for minimax problems (49J35) Variational principles in infinite-dimensional spaces (58E30)

Related Items (7)

Coupled fixed point theorems under new coupled implicit relation in Hilbert spaces ⋮ A fixed point theorem for systems of nonlinear operator equations and applications to \((p_1, p_2)\)-Laplacian system ⋮ Existence and nonexistence of blow-up solutions for a Schrödinger equation involving a nonlinear operator ⋮ Fixed point theorems for a class of nonlinear operators in Hilbert spaces with lattice structure and application ⋮ Existence of nontrivial solutions for superlinear three-point boundary value problems ⋮ Positive solutions of a weakly singular periodic eco-economic system with changing-sign perturbation ⋮ Existence and nonexistence of radial solutions of the Dirichlet problem for a class of general k-Hessian equations

Cites Work

• Existence of multiple positive solutions for second order nonlinear dynamic BVPs by variational methods
• Basic properties of Sobolev's spaces on time scales
• Wirtinger's Inequalities on Time Scales
• Criterions for absolute continuity on time scales
• Invariant sets of descending flow in critical point theory with applications to nonlinear differential equations
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