Equazioni ellittiche non lineari con ostacoli sottili. Applicazioni allo studio dei punti regolari
Erratum: J. Eur. Math. Soc. 1, 237-311 (1999)
Erratum on “Critical point theory for nonsmooth energy functionals and applications".
Error Bounds for Finite Element Solutions of Mildly Nonlinear Elliptic Boundary Value Problems.
Error estimates of an efficient linearization scheme for a nonlinear elliptic problem with a nonlocal boundary condition
We consider a nonlinear second order elliptic boundary value problem (BVP) in a bounded domain with a nonlocal boundary condition. A Dirichlet BC containing an unknown additive constant, accompanied with a nonlocal (integral) Neumann side condition is prescribed at some boundary part . The rest of the boundary is equipped with Dirichlet or nonlinear Robin type BC. The solution is found via linearization. We design a robust and efficient approximation scheme. Error estimates for the linearization...
Error estimates of an efficient linearization scheme for a nonlinear elliptic problem with a nonlocal boundary condition
We consider a nonlinear second order elliptic boundary value problem (BVP) in a bounded domain with a nonlocal boundary condition. A Dirichlet BC containing an unknown additive constant, accompanied with a nonlocal (integral) Neumann side condition is prescribed at some boundary part Γn. The rest of the boundary is equipped with Dirichlet or nonlinear Robin type BC. The solution is found via linearization. We design a robust and efficient approximation scheme. Error estimates for...
Esistenza e molteplicità di soluzioni per equazioni ellittiche nonlineari
Esistenza e unicità degli stati fondamentali per equazioni ellittiche quasilineari
In this paper we describe some existence and uniqueness theorems for radial ground states of a class of quasilinear elliptic equations. In particular, the mean curvature operator and the degenerate Laplace operator are considered.
Estimate of the Hausdorff measure of the singular set of a solution for a semi-linear elliptic equation associated with superconductivity
We study the boundedness of the Hausdorff measure of the singular set of any solution for a semi-linear elliptic equation in general dimensional Euclidean space . In our previous paper, we have clarified the structures of the nodal set and singular set of a solution for the semi-linear elliptic equation. In particular, we showed that the singular set is -rectifiable. In this paper, we shall show that under some additive smoothness assumptions, the -dimensional Hausdorff measure of singular set...
Estimates for critical groups of solutions to quasilinear elliptic systems.
Estimates for Evolutionary Surfaces of Prescribed Mean Curvature.
Estimates for solutions to nonlinear boundary-value problems in conic domains.
Estimates for the energy integral of quasiregular mappings on Riemannian manifolds and isoperimetry
The rate of growth of the energy integral of a quasiregular mapping is estimated in terms of a special isoperimetric condition on . The estimate leads to new Phragmén-Lindelöf type theorems.
Estimates for the Green function and singular solutions for polyharmonic nonlinear equation.
Estimation à priori des solutions faibles de certains systèmes non linéaires elliptiques
Exact multiplicity of positive solutions for a class of semilinear equations on a ball.
Exact multiplicity of positive solutions to a superlinear problem.
Existence and Approximation of Solutions of Non-Linear Elliptic Equations.
Existence and asymptotic behavior of positive solutions to -Laplacian equations with singular nonlinearities.
Existence and asymptotics for selfdual periodic vortices of topological-type