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Radial singular solutions of fully nonlinear equations in punctured balls
Isabeau Birindelli, Françoise Demengel, Fabiana Leoni
We study fully nonlinear uniformly elliptic equations having a singular reaction term with inverse quadratic potential and an absorbing superlinear term of p-power type. We conside…
Ergodic pairs for degenerate pseudo Pucci's fully nonlinear operators
Françoise Demengel
We study the ergodic problem for fully nonlinear elliptic operators which may be degenerate when at least one of the components of the gradient vanishes. We e…
Extremal functions for an embedding from some anisotropic space, and partial differential equation involving the "one Laplacian"
Françoise Demengel, Thomas Dumas
In this paper, we prove the existence of extremal functions for the best constant of embedding from anisotropic space, allowing some of the Sobolev exponents to be equal to . We…
Qualitative properties of a nonlinear system involving the -Laplacian operator
Françoise Demengel
In this article we consider the nonlinear system involving the -Laplacian $$\left\{\begin{array}{lc} |u^\prime |^{p-2} u^{\prime \prime} = u^{p-1} v^p& |v^\prime |^{p-2} v^{\pri…