On the coupled systems of second and fourth order elliptic equations.

DOI10.1016/S0096-3003(02)00231-XzbMath1102.35321OpenAlexW2066272350MaRDI QIDQ1406250

Yukun An, Xian-Ling Fan

Publication date: 9 September 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00231-x

zbMATH Keywords

ExistenceUniquenessElliptic systemCritical pointPerturbation

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for higher-order elliptic equations (35J35)

Related Items (4)

Positive solutions for second-order nonlinear ordinary differential systems with two parameters ⋮ Steady-state solutions for a suspension bridge with intermediate supports ⋮ Maximum principles for a coupled system of second and fourth order elliptic equations and an application ⋮ Mountain pass solutions for the coupled systems of second and fourth order elliptic equations

Cites Work

• Unnamed Item
• Global bifurcation and a theorem of Tarantello
• A variational approach to subquadratic perturbations of elliptic systems
• On systems of elliptic equations involving subcritical or critical Sobolev exponents
• An extension of the Hess-Kato theorem to elliptic systems and its applications to multiple solution problems
• Nonlinear perturbations of a coupled system of steady-state suspension bridge equations
• Mountain pass solutions for a system of partial differential equations: an existence theorem with computational results.
• A Maximum Principle for an Elliptic System and Applications to Semilinear Problems
• On steady state solutions of a system of reaction-diffusion equations from biology
• Bifurcation for an elliptic system coupled in the linear part
• Nontrivial solutions for some fourth order semilinear elliptic problems
• Nontrivial solutions for resonant cooperative elliptic systems via computations of critical groups
• Systems of_p-laplacean equations involving homogeneous nonlinearities with critical sobolev exponent degrees
• Multiplicity results for a fourth-order semilinear elliptic problem
• A variational approach to noncooperative elliptic systems
• On maximum principles for cooperative elliptic systems via fixed point index
• A variational approach to an ambrosetti-prodi type problem for a system of elliptic equations
• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis

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