Existence of solutions to a nonvariational elliptic boundary value problem with parameter and discontinuous nonlinearity

DOI10.3103/S1055134417010023zbMath1374.35226OpenAlexW2589448227MaRDI QIDQ5269176

D. K. Potapov, V. N. Pavlenko

Publication date: 15 June 2017

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1055134417010023

zbMATH Keywords

nontrivial solutionspectral parametermethod of upper and lower solutionsdiscontinuous nonlinearitynonselfadjoint differential operator

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Estimates of eigenvalues in context of PDEs (35P15) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items (4)

On the existence of three nontrivial solutions of a resonance elliptic boundary value problem with a discontinuous nonlinearity ⋮ On a class of elliptic boundary-value problems with parameter and discontinuous non-linearity ⋮ Properties of the spectrum of an elliptic boundary value problem with a parameter and a discontinuous nonlinearity ⋮ Positive solutions of superlinear elliptic problems with discontinuous non-linearities

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