On the existence of solution of the equation and a generalized coincidence degree theory. II.
On the existence of solution of the equation and a generalized coincidence degree theory. I.
On the existence of the price equilibrium by different methods
We have given several proofs on the existence of the price equilibrium --- via variational inequality --- via degree theory and via Brouwer's theorems.
On the existence of weak solutions for some quasilinear elliptic variational boundary value problems at resonance
On the existence theorems of Kantorovich, Miranda and Borsuk.
On the fixed point index of non-compact mappings
On the generalized nonlinear quasivariational inclusions
On the Halley method in Banach spaces
We provide a semilocal convergence analysis for Halley's method using convex majorants in order to approximate a locally unique solution of a nonlinear operator equation in a Banach space setting. Our results reduce and improve earlier ones in special cases.
On the Hénon equation : asymptotic profile of ground states, I
On the ishikawa iteration process in Hilbert spaces.
On the iterative construction of a solution of nonlinear elliptic boundary value problems
On the iterative process of solving nonlinear operator equations in PTL-spaces
On the linearization of some singular, nonlinear elliptic problems and applications
On the location of the peaks of least-energy solutions to semilinear Dirichlet problems with critical growth.
On the Mann and Ishikawa iteration processes.
On the monotone convergence of implicit Newton-like methods.
On the multiplicity of critical points for parameterized functionals on reflexive Banach spaces
Some general multiplicity results for critical points of parameterized functionals on reflexive Banach spaces are established. In particular, one of them improves some aspects of a recent result by B. Ricceri. Applications to boundary value problems are also given.
On the necessity of gaps
Recent papers have studied the existence of phase transition solutions for Allen–Cahn type equations. These solutions are either single or multi-transition spatial heteroclinics or homoclinics between simpler equilibrium states. A sufficient condition for the construction of the multitransition solutions is that there are gaps in the ordered set of single transition solutions. In this paper we explore the necessity of these gap conditions.
On the Nehari manifold for a logarithmic fractional Schrödinger equation with possibly vanishing potentials
We study a class of logarithmic fractional Schrödinger equations with possibly vanishing potentials. By using the fibrering maps and the Nehari manifold we obtain the existence of at least one nontrivial solution.
On the Newton-Kantorovich theorem and nonlinear finite element methods
Using a weaker version of the Newton-Kantorovich theorem, we provide a discretization result to find finite element solutions of elliptic boundary value problems. Our hypotheses are weaker and under the same computational cost lead to finer estimates on the distances involved and a more precise information on the location of the solution than before.