On nodal radial solutions of an elliptic problem involving critical Sobolev exponent
In this paper we construct radial solutions of equation (1) (and (13)) having prescribed number of nodes.
On the Dirichlet problem for a degenerate elliptic equation
On variational approach to the Hamilton-Jacobi PDE
In this paper we construct a minimizing sequence for the problem (1). In particular, we show that for any subsolution of the Hamilton-Jacobi equation there exists a minimizing sequence weakly convergent to this subsolution. The variational problem (1) arises from the theory of computer vision equations.
On entire solutions of elliptic equations with a singular nonlinearity
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