Displaying similar documents to “Positive solution of asymptotically linear elliptic eigenvalue problems for certain differential equations of the fourth order”

On a nonlinear elliptic system: resonance and bifurcation cases

Mario Zuluaga Uribe (1999)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we consider an elliptic system at resonance and bifurcation type with zero Dirichlet condition. We use a Lyapunov-Schmidt approach and we will give applications to Biharmonic Equations.

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.