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Source URL: www.ians.uni-stuttgart.de

• Operator theory
• Partial differential equations
• Complex analysis
• Sobolev spaces
• Fourier analysis
• Differential forms on a Riemann surface
• GoodmanNguyenvan Fraassen algebra

Prof. Dr. Adi Adimurthi Research Areas: • Semilinear elliptic equations ---Existence, non existence and uniqueness of positive solutions • Hardy-Sobolev Inequalities • Hyperbolic Conservation Laws with discontinuou

Source URL: www.alumni.uni-wuerzburg.de

Approximation numbers of Sobolev embeddings Sharp constants and tractability Thomas K¨ uhn Universit¨at Leipzig, Germany Workshop ”Uniform Distribution Theory and Applications”

Source URL: www.mathematik.uni-kl.de

A Sharp Existence Theorem for Vortices in the Theory of Branes1 Xiaosen Han2 arXiv:1110.1423v2 [math-ph] 18 JunInstitute of Contemporary Mathematics

Source URL: arxiv.org

• Ordinary differential equations
• Partial differential equations
• Fourier analysis
• Sobolev space
• Euler–Lagrange equation
• Calculus of variations
• Constructible universe
• Vector space
• Complementation of Büchi automaton
• Algebra
• Mathematics
• Mathematical analysis

`cnica de Catalunya Universitat Polite ` tica Aplicada Programa de Doctorat de Matema ` tica Aplicada I Departament de Matema

Source URL: www.ma.utexas.edu

• Differential operators
• Fourier analysis
• Sobolev spaces
• Partial differential equations
• Elliptic operator
• Calculus of variations
• Laplace operator
• Isoperimetric inequality
• Differential equation
• Calculus
• Mathematical analysis
• Multivariable calculus

NONLOCAL ELLIPTIC EQUATIONS IN BOUNDED DOMAINS: A SURVEY XAVIER ROS-OTON Abstract. In this paper we survey some results on the Dirichlet problem 

Source URL: www.ma.utexas.edu

• Mathematics
• Differential equations
• Calculus of variations
• Hilbert space
• Constructible universe
• Partial differential equation
• Sobolev space
• Mathematical analysis
• Calculus
• Operator theory

REGULARITY OF MINIMIZERS UP TO DIMENSION 7 IN DOMAINS OF DOUBLE REVOLUTION ´ AND XAVIER ROS-OTON XAVIER CABRE Abstract. We consider the class of semi-stable positive solutions to semilinear equations −∆u = f (u) in

Source URL: www.ma.utexas.edu

• Calculus
• Inequalities
• Ordinal number
• Sobolev inequality
• Symbol
• Spectral theory of ordinary differential equations
• Mathematical analysis
• Mathematics
• Sobolev spaces

POHOZAEV IDENTITIES FOR ANISOTROPIC INTEGRO-DIFFERENTIAL OPERATORS XAVIER ROS-OTON, JOAQUIM SERRA, AND ENRICO VALDINOCI Abstract. We establish Pohozaev identities and integration by parts type formulas for anisotropic in

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• Partial differential equations
• Connection
• Mathematics
• Congruence lattice problem
• Symbol
• Constructible universe
• Sobolev spaces

NONEXISTENCE RESULTS FOR NONLOCAL EQUATIONS WITH CRITICAL AND SUPERCRITICAL NONLINEARITIES XAVIER ROS-OTON AND JOAQUIM SERRA Abstract. We prove nonexistence of nontrivial bounded solutions to some nonlinear problems invo

Source URL: www.ma.utexas.edu

• Operator theory
• Multivariable calculus
• Sobolev spaces
• Fourier analysis
• Harmonic functions
• Laplace operator
• Hilbert space
• Sobolev inequality
• Differential operator
• Mathematical analysis
• Calculus
• Mathematics

` TREBALL DE FI DE MASTER Minimizers to reaction-diffusion PDEs, Sobolev inequalities, and monomial weights Autor: Xavier Ros

Source URL: www.ma.utexas.edu

• Sobolev spaces
• Inequalities
• Sobolev inequality
• Partial differential equations
• Calculus of variations
• Isoperimetric inequality
• Ordinal number
• Poincaré inequality
• Mathematical analysis
• Calculus
• Mathematics