6533b86ffe1ef96bd12ce7f9

RESEARCH PRODUCT

Radial solutions of Dirichlet problems with concave-convex nonlinearities

Walter DambrosioFrancesca Dalbono

subject

Dirichlet problemNon lineariteApplied MathematicsMathematical analysisRegular polygonRadial solutions Multiplicity results Dirichlet concave–convex problem Rotation numberDirichlet distributionElliptic curveNonlinear systemsymbols.namesakesymbolsBall (mathematics)AnalysisRotation numberMathematics

description

Abstract We prove the existence of a double infinite sequence of radial solutions for a Dirichlet concave–convex problem associated with an elliptic equation in a ball of R n . We are interested in relaxing the classical positivity condition on the weights, by allowing the weights to vanish. The idea is to develop a topological method and to use the concept of rotation number. The solutions are characterized by their nodal properties.

yearjournalcountryeditionlanguage
2011-04-01
10.1016/j.na.2010.12.026http://hdl.handle.net/10447/64689