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Displaying 421 – 440 of 5443

An elliptic equation with no monotonicity condition on the nonlinearity

Gregory S. Spradlin (2006)

ESAIM: Control, Optimisation and Calculus of Variations

An elliptic PDE is studied which is a perturbation of an autonomous equation. The existence of a nontrivial solution is proven via variational methods. The domain of the equation is unbounded, which imposes a lack of compactness on the variational problem. In addition, a popular monotonicity condition on the nonlinearity is not assumed. In an earlier paper with this assumption, a solution was obtained using a simple application of topological (Brouwer) degree. Here, a more subtle degree...

An embedding theorem of infinite-dimensional manifold pairs in the model space

Katsuro Sakai (1978)

Fundamenta Mathematicae

An energy estimate of an exterior problem and a Liouville theorem for harmonic maps

Dong Zhang (1994)

Annales de l'I.H.P. Analyse non linéaire

An error analysis of the multi-configuration time-dependent Hartree method of quantum dynamics

Dajana Conte, Christian Lubich (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

This paper gives an error analysis of the multi-configuration time-dependent Hartree (MCTDH) method for the approximation of multi-particle time-dependent Schrödinger equations. The MCTDH method approximates the multivariate wave function by a linear combination of products of univariate functions and replaces the high-dimensional linear Schrödinger equation by a coupled system of ordinary differential equations and low-dimensional nonlinear partial differential equations. The main result of this...

An essay on the Interpolation Theorem of Józef Marcinkiewicz - Polish patriot

Tadeusz Iwaniec (2011)

Banach Center Publications

An estimate for a fundamental solution of a parabolic equation with drift on a Riemannian manifold.

Bernatskaya, Yu. N. (2003)

Sibirskij Matematicheskij Zhurnal

An estimate on the hessian of the heat kernel

Daniel W. Stroock (1995)

Journées équations aux dérivées partielles

An estimate on the relative Morse index for strongly indefinite functionals.

Abbondandolo, A., Felmer, P., Molina, J. (2001)

Electronic Journal of Differential Equations (EJDE) [electronic only]

An Example of Moduli for Singular Symplec-tic Forms

M. Golubitsky, D. Tischler (1976)

Inventiones mathematicae

An Example on the Heisenberg Group Related to the Levy Operator.

E.M. Stein (1982)

Inventiones mathematicae

An existence result for minimal spheres in manifolds boundary

Edi Rosset (1990)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We prove the existence of a not homotopically trivial minimal sphere in a 3-manifold with boundary, obtained by deleting an open connected subset from a compact Riemannian oriented 3-manifold with boundary, having trivial second homotopy group.

An existence theorem for a non-regular variational problem.

L.M. Sibner (1983)

Manuscripta mathematica

An Existence Theorem for Harmonic Maps.

Jochen Lohkamp (1990)

Manuscripta mathematica

An Existence Theorem for Harmonic Sections.

C.M. Wood (1990)

Manuscripta mathematica

An explicite description of harmonic measure.

Ursula Hamenstädt (1990)

Mathematische Zeitschrift

An expression of classical dynamics

J.-J. Moreau (1989)

Annales de l'I.H.P. Analyse non linéaire

An extension of a multiplicity theorem by Ricceri with an application to a class of quasilinear equations

Francesca Faraci, Antonio Iannizzotto (2006)

Studia Mathematica

A recent multiplicity result by Ricceri, stated for equations in Hilbert spaces, is extended to a wider class of Banach spaces. Applications to nonlinear boundary value problems involving the p-Laplacian are presented.

An extension of Miller's version of the de Rham Theorem with any coefficients

Antonio Garvín, Luis Lechuga, Aniceto Murillo, Vicente Muñoz, Antonio Viruel (1998)

Banach Center Publications

In this paper we present an approximation to the de Rham theorem for simplicial sets with any coefficients based, using simplicial techniques, on Poincaré's lemma and q-extendability.

An extension of the Newton-Puiseux polygon construction to give solutions of Pfaffian forms

José Cano (1993)

Annales de l'institut Fourier

We give a proof of the fact that any holomorphic Pfaffian form in two variables has a convergent integral curve. The proof gives an effective method to construct the solution, and we extend it to get a Gevrey type solution for a Gevrey form.

An extension of the topological degree in Hilbert space.

Berkovits, J., Fabry, C. (2005)

Abstract and Applied Analysis

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