Resonant semilinear problems with nonlinear term depending on the derivative

DOI10.1016/j.jmaa.2004.03.027zbMath1058.34017OpenAlexW2099668211MaRDI QIDQ1876713

Yanyan Li

Publication date: 20 August 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.03.027

zbMATH Keywords

Lyapunov-Schmidt reductionresonancebounded nonlinearitiesDirichlet boundary value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15)

Related Items (1)

Double resonance with Landesman-Lazer conditions for planar systems of ordinary differential equations

Cites Work

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• Nonselfadjoint semilinear elliptic boundary value problems
• Semilinear boundary value problems at resonance with general nonlinearities
• Elliptic equations with noninvertible Fredholm linear part and bounded nonlinearities
• Nonlinear elliptic equations at resonance where the nonlinearity depends essentially on the derivative
• Existence and multiplicity of solutions for certain Dirichlet problems with nonlinearity depending on the derivative.
• Dirichlet problem with nonlinearity depending only on the derivative
• Bounded perturbations of forced harmonic oscillators at resonance
• Remarks on the existence of solutions of x″ + x + arctan(x′) = p(t); x(0) = x(π) = 0
• A Two-Point Problem with Nonlinearity Depending Only on the Derivative
• On Semilinear Problems with Nonlinearities Depending Only on Derivatives
• Remarks on the range properties of certain semilinear problems of Landesman-Lazer type
• Existence of solutions to \(u^{\prime\prime}+u+g(t,u,u')=p(t), u(0)=u(\pi)=0\)

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