Sturmian theorems for components of coupled elliptic systems

Cheng, Sui-Sun

Displaying similar documents to “Sturmian theorems for components of coupled elliptic systems”

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Some properties of solutions of elliptic partial differential equations of the second order

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On some elliptic boundary-value problems with discontinuous nonlinearities

Giovanni Anello (2005)

Annales Polonici Mathematici

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We establish two existence results for elliptic boundary-value problems with discontinuous nonlinearities. One of them concerns implicit elliptic equations of the form ψ(-Δu) = f(x,u). We emphasize that our assumptions permit the nonlinear term f to be discontinuous with respect to the second variable at each point.

On existence of a unique generalized solution to systems of elliptic PDEs at resonance

Tiantian Qiao, Weiguo Li, Kai Liu, Boying Wu (2014)

Annales Polonici Mathematici

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The Dirichlet boundary value problem for systems of elliptic partial differential equations at resonance is studied. The existence of a unique generalized solution is proved using a new min-max principle and a global inversion theorem.