On nonlinear elliptic problems with jumping nonlinearities

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1981 English Publisher:Springer Science and Business Media LLCJournal:Annali di Matematica Pura ed Applicata, volume 128, pages 133-151 (issn: 0373-3114, eissn: 1618-1891,

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Authors: Ruf, Bernhard;

doi: 10.1007/bf01789470

On nonlinear elliptic problems with jumping nonlinearities

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Abstract

Elliptic equations with nonlinearities, which have different derivatives at plus and minus infinity, are studied. A characterization of solvability is given by establishing the existence of nonlinear eigenvalues of a corresponding positive-homogeneous equation.

Keywords

Boundary value problems for second-order elliptic equations, semilinear Dirichlet problem, a priori estimates, Nonlinear boundary value problems for linear elliptic equations, uniformly elliptic formally self-adjoint linear second order operator, General topics in linear spectral theory for PDEs, Degree, winding number, Leray-Schauder degree arguments, A priori estimates in context of PDEs, multiplicity of solutions

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