A nonlinear boundary value problem with potential oscillating around the first eigenvalue

DOI10.1006/jdeq.1995.1060zbMath0821.34017OpenAlexW2012514999MaRDI QIDQ1890536

Fabio Zanolin, Patrick Habets, Raul F. Manasevich

Publication date: 3 October 1995

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1995.1060

zbMATH Keywords

functionalpotentialcritical pointboundary value problemfirst eigenvalue

Mathematics Subject Classification ID

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

Related Items (13)

DIRICHLET PROBLEM OF ELLIPTIC EQUATIONS WITH STRONG RESONANCES ⋮ On the existence of multiple periodic solutions for the vector \(p\)-Laplacian via critical point theory. ⋮ Positive solutions of elliptic problems with locally oscillating nonlinearities ⋮ Multiplicity results for boundary value problems with potentials oscillating around resonance ⋮ Infinitely many periodic solutions for ordinary \(p(t)\)-Laplacian differential systems ⋮ The periodic problem for curvature-like equations with asymmetric perturbations ⋮ Infinitely many periodic solutions for discrete second order Hamiltonian systems with oscillating potential ⋮ Infinitely many solutions of a quasilinear elliptic problem with an oscillatory potential^∗ ⋮ Asymmetric Poincaré inequalities and solvability of capillarity problems ⋮ Bifurcation from infinity and resonance results at high eigenvalues in dimension one ⋮ Multiple periodic solutions for perturbed relativistic pendulum systems ⋮ Schrödinger equation on Cartan-Hadamard manifolds with oscillating nonlinearities ⋮ Infinitely many periodic solutions of ordinary differential equations

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