Regular solutions of elliptic boundary-value problems with discontinuous nonlinearities
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Publication:3533616
DOI10.1090/S1061-0022-06-00915-0zbMath1208.35063OpenAlexW1559522302MaRDI QIDQ3533616
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Publication date: 23 October 2008
Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s1061-0022-06-00915-0
Nonlinear boundary value problems for linear elliptic equations (35J65) Equations involving nonlinear operators (general) (47J05) Stability in context of PDEs (35B35) Variational methods for second-order elliptic equations (35J20)
Related Items (6)
Contrast structures in the reaction-diffusion-advection problem in the case of a weak reaction discontinuity ⋮ The existence of semiregular solutions to elliptic spectral problems with discontinuous nonlinearities ⋮ Unnamed Item ⋮ On unstable contrast structures in one-dimensional reaction-diffusion-advection problems with discontinuous sources ⋮ Approximation to the Sturm-Liouville problem with a discontinuous nonlinearity ⋮ Existence of solutions, estimates for the differential operator, and a ``separating set in a boundary value problem for a second-order differential equation with a discontinuous nonlinearity
Cites Work
- Unnamed Item
- Resonance boundary value problems for elliptic equations with discontinuous nonlinearities.
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- Continuous approximations of discontinuous nonlinearities of semilinear elliptic-type equations
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