Existence of solutions for a system of diffusion equations with spectrum point zero

DOI10.1007/s00033-013-0334-0zbMath1293.35137OpenAlexW2036049839MaRDI QIDQ2453462

Yuanhong Wei, Min-Bo Yang

Publication date: 6 June 2014

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-013-0334-0

zbMATH Keywords

critical pointstrongly indefinite functional

Mathematics Subject Classification ID

Existence theories for optimal control problems involving partial differential equations (49J20) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Initial value problems for second-order parabolic systems (35K45) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Semilinear parabolic equations (35K58)

Related Items (6)

Nonstationary homoclinic orbit for an infinite-dimensional fractional reaction-diffusion system ⋮ Nonstationary homoclinic solutions for infinite-dimensional fractional reaction-diffusion system with two types of superlinear nonlinearity ⋮ Ground state solutions for a diffusion system ⋮ Ground states for diffusion system with periodic and asymptotically periodic nonlinearity ⋮ Unnamed Item ⋮ Ground states for reaction-diffusion equations with spectrum point zero

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Hamiltonian elliptic systems with periodic or non-periodic potentials
• Homoclinic solutions of an infinite-dimensional Hamiltonian system
• Multiple solutions of Schrödinger equations with indefinite linear part and super or asymptotically linear terms
• Solutions for periodic Schrödinger equation with spectrum zero and general superlinear nonlinearities
• Solutions of a class of Hamiltonian elliptic systems in \(\mathbb R^N\)
• Critical point theory and Hamiltonian systems
• On a nonlinear Schrödinger equation with periodic potential
• Periodic solutions to an unbounded Hamiltonian system
• Homoclinic orbits for Schrödinger systems.
• Homoclinic orbits of a Hamiltonian system
• Solutions of a system of diffusion equations
• Deformation theorems on non-metrizable vector spaces and applications to critical point theory
• Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
• Homoclinic type solutions for a semilinear elliptic PDE on ℝⁿ
• Decay, symmetry and existence of solutions of semilinear elliptic systems
• An infinite dimensional Morse theory with applications
• On a Schrodinger equation with periodic potential and spectrum point zero
• Strongly indefinite functionals and multiple solutions of elliptic systems
• Infinitely many solutions for asymptotically linear periodic Hamiltonian elliptic systems

This page was built for publication: Existence of solutions for a system of diffusion equations with spectrum point zero