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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

`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

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

Source URL: www.ma.utexas.edu

• 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

THE DIRICHLET PROBLEM FOR THE FRACTIONAL LAPLACIAN: REGULARITY UP TO THE BOUNDARY XAVIER ROS-OTON AND JOAQUIM SERRA Abstract. We study the regularity up to the boundary of solutions to the Dirichlet problem for the fract

Source URL: www.ma.utexas.edu

• Partial differential equations
• Constructible universe
• Free boundary problem
• Harmonic function
• Heat equation
• Ordinal numbers
• Sobolev spaces
• Symbol
• Ordinal arithmetic
• Calculus
• Mathematics
• Mathematical analysis

THE DIRICHLET PROBLEM FOR NONLOCAL OPERATORS WITH SINGULAR KERNELS: CONVEX AND NONCONVEX DOMAINS XAVIER ROS-OTON AND ENRICO VALDINOCI Abstract. We study the interior regularity of solutions to the Dirichlet problem Lu =

Source URL: www.ma.utexas.edu

• Fourier analysis
• Fractional calculus
• Constructible universe
• Mathematical analysis
• Sobolev spaces
• Mathematics

THE EXTREMAL SOLUTION FOR THE FRACTIONAL LAPLACIAN XAVIER ROS-OTON AND JOAQUIM SERRA Abstract. We study the extremal solution for the problem (−∆)s u = λf (u) in Ω, u ≡ 0 in Rn \ Ω, where λ > 0 is a parameter

Source URL: www.ma.utexas.edu

• Differential operators
• Sobolev spaces
• Partial differential equations
• Spectral theory
• Fourier analysis
• Ordinal number
• Constructible universe
• Sobolev inequality
• Laplace operator
• Mathematical analysis
• Calculus
• Mathematics

A STRUCTURALLY DAMPED PLATE EQUATION WITH DIRICHLET-NEUMANN BOUNDARY CONDITIONS ROBERT DENK AND ROLAND SCHNAUBELT Abstract. We investigate sectoriality and maximal regularity in Lp -Lq Sobolev spaces for the structurally

Source URL: www.math.kit.edu