Nonexistence results for semilinear systems in unbounded domains.
Nonexistence results of solutions to systems of semilinear differential inequalities on the Heisenberg group.
Nonexistence theorems for weak solutions of quasilinear elliptic equations.
Nonhomogeneous boundary conditions and curved triangular finite elements
Approximation of nonhomogeneous boundary conditions of Dirichlet and Neumann types is suggested in solving boundary value problems of elliptic equations by the finite element method. Curved triangular elements are considered. In the first part of the paper the convergence of the finite element method is analyzed in the case of nonhomogeneous Dirichlet problem for elliptic equations of order , in the second part of the paper in the case of nonhomogeneous mixed boundary value problem for second order...
Nonhomogeneous elliptic equations with decaying cylindrical potential and critical exponent.
Non-homogeneous Neumann problems in domains with small holes
Nonisolated singularities of solutions to a quasilinear elliptic system
Nonlinear boundary value problems involving the extrinsic mean curvature operator
The paper surveys recent results obtained for the existence and multiplicity of radial solutions of Dirichlet problems of the type where is the open ball of center and radius in , and is continuous. Comparison is made with similar results for the Laplacian. Topological and variational methods are used and the case of positive solutions is emphasized. The paper ends with the case of a general domain.
Nonlinear boundary value problems with application to semiconductor device equations
The paper deals with boundary value problems for systems of nonlinear elliptic equations in a relatively general form. Theorems based on monotone operator theory and concerning the existence of weak solutions of such a system, as well as the convergence of discretized problem solutions are presented. As an example, the approach is applied to the stationary Van Roosbroeck’s system, arising in semiconductor device modelling. A convergent algorithm suitable for solving sets of algebraic equations generated...
Nonlinear Commutators and Jacobians.
Nonlinear degenerate elliptic equations with measure data
In this paper we prove existence results for some nonlinear degenerate elliptic equations with data in the space of bounded Radon measures and we improve the results already obtained in Cirmi G.R., On the existence of solutions to non-linear degenerate elliptic equations with measure data, Ricerche Mat. 42 (1993), no. 2, 315–329.
Nonlinear diffusion processes.
Nonlinear eigenvalue problems
Nonlinear eigenvalue problems for elliptic partial differential equations
Nonlinear Eigenvalue Problems Having Precisely Two Solutions.
Nonlinear eigenvalue problems with semipositone structure.
Nonlinear eigenvalues and bifurcation problems for Pucci's operators
Nonlinear elastic membranes involving the -Laplacian operator.
Nonlinear elliptic boundary value problems versus their finite difference approximations: numerically irrelevant solutions.
Nonlinear elliptic differential equations with multivalued nonlinearities
In this paper we study nonlinear elliptic boundary value problems with monotone and nonmonotone multivalued nonlinearities. First we consider the case of monotone nonlinearities. In the first result we assume that the multivalued nonlinearity is defined on all . Assuming the existence of an upper and of a lower solution, we prove the existence of a solution between them. Also for a special version of the problem, we prove the existence of extremal solutions in the order interval formed by the upper...