Shahgholian, Henrik - Department of Mathematics, Royal Institute of Technology (KTH)

• Existence of classical solutions to a free boundary problem for the pLaplace operator: (II) the interior convex case
• Qualitative Properties of Positive Solutions to NonLinear PDE and FBP
• TWO RELATED MINIMUM PROBLEMS WITH FREE BOUNDARIES GOVERNED BY THE pLAPLACE OPERATOR
• UNIFORM REGULARITY CLOSE TO CROSS SINGULARITIES IN AN UNSTABLE FREE BOUNDARY PROBLEM
• A CHARACTERIZATION OF THE SPHERE IN TERMS OF SINGLELAYER POTENTIALS
• Generalized mean value property for caloric functions A. Hakobyan
• CONVEXITY AND UNIQUENESS IN AN INVERSE PROBLEM OF POTENTIAL THEORY
• AN OVERDETERMINED PROBLEM IN NONLINEAR PARABOLIC POTENTIAL THEORY; UNIQUENESS
• Growth estimates through scaling for quasilinear partial differential equations
• Aleksandrov and Kelvin Reflection and the Reg-ularity of Free Boundaries
• BOUNDARY ESTIMATES FOR SOLUTIONS TO THE PARABOLIC FREE BOUNDARY PROBLEM
• ON THE POROUSITY OF FREE BOUNDARIES IN DEGENERATE VARIATIONAL INEQUALITIES
• CONVEXITY OF FREE BOUNDARIES WITH BERNOULLI TYPE BOUNDARY CONDITION
• EXISTENCE OF QUADRATURE SURFACES FOR POSITIVE MEASURES WITH FINITE SUPPORT
• REGULARITY OF A FREE BOUNDARY WITH APPLICATION TO THE POMPEIU PROBLEM
• REGULARITY PROPERTIES OF A FREE BOUNDARY NEAR CONTACT POINTS WITH THE FIX BOUNDARY
• Existence of classical solutions to a free boundary problem for the pLaplace operator: (I) the exterior
• SOME QUALITATIVE ASPECTS OF A FREE BOUNDARY PROBLEM
• CONVEXITY OF THE FREE BOUNDARY FOR AN EXTERIOR FREE BOUNDARY PROBLEM INVOLVING
• A PARABOLIC TWO-PHASE OBSTACLE-LIKE EQUATION HENRIK SHAHGHOLIAN, NINA URALTSEVA, AND GEORG S. WEISS
• GLOBAL SOLUTIONS OF THE OBSTACLE PROBLEM IN HALF-SPACES, AND THEIR IMPACT ON LOCAL STABILITY.
• Parabolic obstacle problems applied to finance A free-boundary-regularity approach
• The impact of monotonicity formulas in regularity of free boundaries
• DENSE SUBSETS OF L 1 SOLUTIONS TO LINEAR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS
• ON QUADRATURE DOMAINS AND THE SCHWARZ POTENTIAL
• WHEN DOES THE FREE BOUNDARY ENTER INTO CORNER POINTS OF THE FIXED BOUNDARY ?
• ON THE OPTIMAL GROWTH OF FUNCTIONS WITH BOUNDED LAPLACIAN
• REGULARITY OF A FREE BOUNDARY AT THE INFINITY POINT
• FREE BOUNDARY REGULARITY CLOSE TO INITIAL STATE FOR PARABOLIC OBSTACLE PROBLEM
• GEOMETRIC AND ENERGETIC CRITERIA FOR THE FREE BOUNDARY REGULARITY IN AN OBSTACLE-TYPE PROBLEM
• THE TWO-PHASE MEMBRANE PROBLEM REGULARITY OF THE FREE BOUNDARIES IN HIGHER DIMENSIONS
• THE SINGULAR SET FOR THE COMPOSITE MEMBRANE HENRIK SHAHGHOLIAN
• Gamma limits in some Bernoulli free boundary Bernd Kawohl
• THE STRUCTURE OF THE SINGULAR SET OF A FREE BOUNDARY IN POTENTIAL THEORY
• QUADRATURE DOMAINS AND BROWNIAN MOTION (A HEURISTIC APPROACH)
• THE BEHAVIOR OF THE FREE BOUNDARY NEAR THE FIXED BOUNDARY FOR A MINIMIZATION
• Non-convexity of level sets in convex rings for semilinear elliptic problems
• REGULARITY OF A FREE BOUNDARY IN PARABOLIC POTENTIAL LUIS CAFFARELLI, ARSHAK PETROSYAN, AND HENRIK SHAHGHOLIAN
• The multi-layer free boundary problem for the p-Laplacian in convex domains
• HAUSDORFF DIMENSION AND STABILITY FOR THE p-OBSTACLE PROBLEM (2 < p < )
• ON PHRAGMEN LINDEL  OF PRINCIPLE
• A FREE BOUNDARY PROBLEM FOR 1{LAPLACE EQUATION JUAN MANFREDI, ARSHAK PETROSYAN, AND HENRIK SHAHGHOLIAN
• ON THE TWO-PHASE MEMBRANE PROBLEM WITH COEFFICENTS BELOW THE LIPSCHITZ THRESHOLD
• The one phase free boundary problem for the p-Laplacian with non-constant Bernoulli boundary condition
• UNIQUENESS FOR AN OVERDETERMINED BOUNDARY VALUE PROBLEM FOR THE PLAPLACIAN
• REGULARITY OF A FREE BOUNDARY PROBLEM Henrik Shahgholian
• Regularity of a Free Boundary for Viscosity Solutions of Nonlinear Elliptic Equations
• ON THE GLOBAL SOLUTIONS OF THE PARABOLIC OBSTACLE PROBLEM
• THE TWO-PHASE MEMBRANE PROBLEM AN INTERSECTION-COMPARISON APPROACH TO THE
• A PDE APPROACH TO REGULARITY OF SOLUTIONS TO FINITE HORIZON OPTIMAL SWITCHING PROBLEMS
• Convex configurations for solutions to semilinear elliptic problems in convex rings