Displaying similar documents to “Asymptotic approximation for the solution to a semi-linear elliptic problem in a thin aneurysm-type domain”

Boundary singularities of solutions to quasilinear elliptic equations

Vladimir Kozlov, Vladimir Maz'ya (1999)

Journées équations aux dérivées partielles

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Asymptotic formulae for solutions to boundary value problems for linear and quasilinear elliptic equations and systems near a boundary point are discussed. The boundary is not necessarily smooth. The main ingredient of the proof is a spectral splitting and reduction of the original problem to a finite-dimensional dynamical system. The linear version of the corresponding abstract asymptotic theory is presented in our new book “Differential equations with operator coefficients”, Springer,...