6533b82bfe1ef96bd128cd46

RESEARCH PRODUCT

Multiplicity results for systems of asymptotically linear second order equations

Anna CapiettoFrancesca Dalbono

subject

Asymptotically linearAsymptotically linear second order system continuation theoremGeneral MathematicsMultiplicity resultsMathematical analysisSecond order equationStatistical and Nonlinear PhysicsMathematics

description

Abstract We prove the existence and multiplicity of solutions, with prescribed nodal properties, for a BVP associated with a system of asymptotically linear second order equations. The applicability of an abstract continuation theorem is ensured by upper and lower bounds on the number of zeros of each component of a solution.

https://doi.org/10.1515/ans-2002-0401