Multiplicity results on a nonlinear biharmonic equation

DOI10.1016/S0362-546X(97)00381-7zbMath0890.35051MaRDI QIDQ4378761

Q-Heung Choi, Tacksun Jung

Publication date: 29 June 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

crossing eigenvalues

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Boundary value problems for higher-order elliptic equations (35J40)

Related Items (15)

EXISTENCE OF THE SOLUTIONS FOR THE ELLIPTIC PROBLEM WITH NONLINEAR TERM DECAYING AT THE ORIGIN ⋮ Fourth order elliptic system with Dirichlet boundary condition ⋮ Nonlinear biharmonic boundary value problem ⋮ Fourth order elliptic boundary value problem with nonlinear term decaying at the origin ⋮ Fourth order Hamiltonian system with some singular nonlinear term and multiplicity result ⋮ NONLINEAR BIHARMONIC EQUATION WITH POLYNOMIAL GROWTH NONLINEAR TERM ⋮ AN APPLICATION OF LINKING THEOREM TO FOURTH ORDER ELLIPTIC BOUNDARY VALUE PROBLEM WITH FULLY NONLINEAR TERM ⋮ AT LEAST TWO SOLUTIONS FOR THE SEMILINEAR BIHARMONIC BOUNDARY VALUE PROBLEM ⋮ NONTRIVIAL SOLUTION FOR THE BIHARMONIC BOUNDARY VALUE PROBLEM WITH SOME NONLINEAR TERM ⋮ SINGULAR POTENTIAL BIHARMONIC PROBLEM ⋮ AN APPLICATION OF THE LERAY-SCHAUDER DEGREE THEORY TO THE VARIABLE COEFFICIENT SEMILINEAR BIHARMONIC PROBLEM ⋮ ELLIPTIC PROBLEM WITH A VARIABLE COEFFICIENT AND A JUMPING SEMILINEAR TERM ⋮ A BIFURCATION PROBLEM FOR THE BIHARMONIC OPERATOR ⋮ Singular potential biharmonic problem with fixed energy ⋮ Applications of topolological methods to the semilinear biharmonic problem with different powers

Cites Work

• Unnamed Item
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• Saddle points and multiple solutions of differential equations
• Nonlinear oscillations in a suspension bridge
• Operator inequalities
• A note on a semilinear elliptic problem
• An application of a variational reduction method to a nonlinear wave equation
• Dual variational methods in critical point theory and applications
• Critical point theory and boundary value problems with nonlinearities crossing multiple eigenvalues II
• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
• The multiplicity of solutions and geometry of a nonlinear elliptic equation

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