On the logarithm of the minimizing integrand for certain variational problems in two dimensions

Author:

Akman Murat,Lewis John L.,Vogel Andrew

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Algebra and Number Theory,Analysis

Reference5 articles.

1. Bennewitz B., Lewis J.: On the dimension of p-harmonic measure. Ann. Acad. Sci. Fenn. Math. 30(2), 459–505 (2005)

2. Heinonen J., Kilpeläinen T., Martio O.: Nonlinear potential theory of degenerate elliptic equations. Oxford University Press, Oxford (1993)

3. Lewis J.: Note on p harmonic measure. Comput. Methods Funct. Theory 6(1), 109–144 (2006)

4. Lewis J., Nyström K., Poggi Corradini P.: p harmonic measure in simply connected domains. Ann. Inst. Fourier Grenoble 61(2), 689–715 (2011)

5. Makarov N.: Distortion of boundary sets under conformal mapping. Proc. Lond. Math. Soc. 51, 369–384 (1985)

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1. The Brunn--Minkowski inequality and a Minkowski problem for -harmonic Green's function;Advances in Calculus of Variations;2019-04-06

2. σ-Finiteness of elliptic measures for quasilinear elliptic PDE in space;Advances in Mathematics;2017-03

3. Hausdorff dimension and σ finiteness of p harmonic measures in space when p≥n;Nonlinear Analysis: Theory, Methods & Applications;2015-12

4. On the dimension of a certain measure in the plane;Annales Academiae Scientiarum Fennicae Mathematica;2014-02

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