Solvability for two-point boundary value problems

DOI10.1006/jmaa.1997.5664zbMath0893.34016OpenAlexW2088111068MaRDI QIDQ1378702

Chun-Lei Tang

Publication date: 3 March 1998

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

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5664

zbMATH Keywords

critical pointssaddle point theoremtwo-point boundary value problemsPoincaré and Sobolev's inequalities

Mathematics Subject Classification ID

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

Related Items (14)

Existence of weak solutions for a class of quasilinear elliptic systems ⋮ Convex solutions of Monge-Ampère equations and systems: existence, uniqueness and asymptotic behavior ⋮ Multiple solutions for semilinear elliptic equations near resonance at higher eigenvalues ⋮ Existence and multiplicity of solutions for asymptotically linear noncooperative elliptic systems ⋮ Existence of weak solutions for a class of \((p,q)\)-Laplacian systems on resonance ⋮ Resonance problems for the \(p\)-Laplacian systems ⋮ Strong resonance for some quasilinear elliptic equations ⋮ Strongly resonant quasilinear elliptic equations ⋮ Existence and multiplicity of solutions for a class of semilinear elliptic equations ⋮ Remarks on existence and multiplicity of solutions for a class of semilinear elliptic equations ⋮ Resonance problems for the \(p\)-Laplacian with a nonlinear boundary condition ⋮ Some existence theorems for elliptic resonant problems. ⋮ Some remarks on a class of nonuniformly elliptic equations of \(p\)-Laplacian type ⋮ Some existence theorems for semilinear Neumann problems with Landesman-Lazer condition revisited

Cites Work

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• Solvability of a boundary value problem with the nonlinearity satisfying a sign condition
• On the resonance problem with nonlinearity which has arbitrary linear growth
• Critical point theory and Hamiltonian systems
• A boundary value problem with a periodic nonlinearity
• Nonlinear Two Point Boundary Value Problems at Resonance Without Landesman-Lazer Condition
• Necessary and Sufficient Conditions for the Solvability of a Nonlinear Two-Point Boundary Value Problem
• A Resonance Problem in Which the Nonlinearity May Grow Linearly

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