The existence of semiregular solutions to elliptic spectral problems with discontinuous nonlinearities

DOI10.1070/SM2015V206N09ABEH004496zbMath1333.35144MaRDI QIDQ3466408

V. N. Pavlenko, D. K. Potapov

Publication date: 1 February 2016

Published in: Sbornik: Mathematics (Search for Journal in Brave)

zbMATH Keywords

spectral problemsequations of elliptic typemethod of upper and lower solutionsdiscontinuous nonlinearitysemiregular solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60)

Related Items (7)

Estimates for a spectral parameter in elliptic boundary value problems with discontinuous nonlinearities ⋮ 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 ⋮ Existence of semiregular solutions of elliptic systems with discontinuous nonlinearities ⋮ Positive solutions of superlinear elliptic problems with discontinuous non-linearities ⋮ Variational method for elliptic systems with discontinuous nonlinearities

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