A geometric analysis of a singular ODE related to the study of a quasilinear PDE.
A geometric and analytic approach to some problems associated with Emden equations
A geometric approach for convexity in some variational problem in the Gauss space
A Geometric Construction of the Discrete Series for Semisimple Lie Groups.
A geometrical interpretation of the time evolution of the Schrödinger equation for discrete quantum systems
A Global a posteriori Error Estimate for Quasilinear Elliptic Problems.
A global approach to ground state solutions.
A global bifurcation result of a Neumann problem with indefinite weight.
A Global Compactness Result for Elliptic Boundary Value Problems Involving Limiting Nonlinearities.
A global differentiability result for solutions of nonlinear elliptic problems with controlled growths
Let be a bounded open subset of , . In we deduce the global differentiability result for the solutions of the Dirichlet problem with controlled growth and nonlinearity . The result was obtained by first extending the interior differentiability result near the boundary and then proving the global differentiability result making use of a covering procedure.
A global solution curve for a class of semilinear equations.
-harmonic equations and the Dirac operator.
A Harnack inequality approach to the regularity of free boundaries. Part III : existence theory, compactness, and dependence on
A Harnack Inequality for the Equation ..., when |b| ... Kn + 1.
A hierarchical preconditioner for the mortar finite element method.
A Hölder infinity Laplacian
In this paper we study the limit as p → ∞ of minimizers of the fractional Ws,p-norms. In particular, we prove that the limit satisfies a non-local and non-linear equation. We also prove the existence and uniqueness of solutions of the equation. Furthermore, we prove the existence of solutions in general for the corresponding inhomogeneous equation. By making strong use of the barriers in this construction, we obtain some regularity results.
A Hölder infinity Laplacian
In this paper we study the limit as p → ∞ of minimizers of the fractional Ws,p-norms. In particular, we prove that the limit satisfies a non-local and non-linear equation. We also prove the existence and uniqueness of solutions of the equation. Furthermore, we prove the existence of solutions in general for the corresponding inhomogeneous equation. By making strong use of the barriers in this construction, we obtain some regularity results.
A homogenization result for planar, polygonal networks
A homotopy method for solving an equation of the type
A la recherche du spectre perdu: An invitation to nonlinear spectral theory
We give a survey on spectra for various classes of nonlinear operators, with a particular emphasis on a comparison of their advantages and drawbacks. Here the most useful spectra are the asymptotic spectrum by M. Furi, M. Martelli and A. Vignoli (1978), the global spectrum by W. Feng (1997), and the local spectrum (called “phantom”) by P. Santucci and M. Väth (2000). In the last part we discuss these spectra for homogeneous operators (of any degree), and derive a discreteness result and a nonlinear...