On nonlinear eigenvaule problems.
On Maximal Functions and Parabolic Limits.
Note on the Dirichlet problem with L2-Boundary Data.
On the Neumann problem for systems of elliptic equations involving homogeneous nonlinearities of a critical degree
We establish the existence of solutions for the Neumann problem for a system of two equations involving a homogeneous nonlinearity of a critical degree. The existence of a solution is obtained by a constrained minimization with the aid of P.-L. Lions' concentration-compactness principle.
On multiple solutions of the Neumann problem involving the critical Sobolev exponent
We consider the Neumann problem involving the critical Sobolev exponent and a nonhomogeneous boundary condition. We establish the existence of two solutions. We use the method of sub- and supersolutions, a local minimization and the mountain-pass principle.
On the nonlinear Neumann problem involving the critical Sobolev exponent and Hardy potential.
In this paper we investigate the solvability of some Neumann problems involving the critical Sobolev and Hardy exponents.
On the critical Neumann problem with lower order perturbations
We investigate the solvability of the Neumann problem (1.1) involving a critical Sobolev exponent and lower order perturbations in bounded domains. Solutions are obtained by min max methods based on a topological linking. A nonlinear perturbation of a lower order is allowed to interfere with the spectrum of the operator -Δ with the Neumann boundary conditions.
On variational approach to photometric stereo
Critical Neumann problem with competing Hardy potentials.
An Elliptic Neumann Problem with Subcritical Nonlinearity
We establish the existence of a solution to the Neumann problem in the half-space with a subcritical nonlinearity on the boundary. Solutions are obtained through the constrained minimization or minimax. The existence of solutions depends on the shape of a boundary coefficient.
On the Neumann problem with combined nonlinearities
We establish the existence of multiple solutions of an asymptotically linear Neumann problem. These solutions are obtained via the mountain-pass principle and a local minimization.
On the Dirichlet problem for a degenerate elliptic equation
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 entire solutions of elliptic equations with a singular nonlinearity
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.
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