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- Gustavsson, Jan, et al.
(författare)
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A submultiplicative function
- 1989
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Ingår i: Indagationes mathematicae (Proceedings). - : Elsevier BV. - 1385-7258. ; 92:4, s. 435-442
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Tidskriftsartikel (refereegranskat)
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4. |
- Miklyukov, Vladimir, et al.
(författare)
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The structure in the large of externally complete minimal surfaces in $R^3$
- 1987
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Ingår i: Izvestiia vysshikh uchebnykh zavedenii. Matematika (Izvestija Vuzov. Mathematics). - : Springer Berlin/Heidelberg. - 0021-3446 .- 2076-4626. ; 31:7, s. 37-35
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Tidskriftsartikel (refereegranskat)abstract
- We establish the absence of nontrivial noncompact parametric minimal surfaces in the Euclidean 3-space satisfying some additional geometrical properties.
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5. |
- Ambjørn, J., et al.
(författare)
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The complex langevin equation and Monte Carlo simulations of actions with static charges
- 1986
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Ingår i: Nuclear Physics, Section B. - 0550-3213. ; 275:3, s. 375-397
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Tidskriftsartikel (refereegranskat)abstract
- We explore the possibilities of using the complex Langevin equation to Monte Carlo generate configurations of gauge theories with static charges present in the action. Successful results are obtained for systems that possess nontrivial saddle-point (classical) solutions. For that reason the algorithm works impressively for two-dimensional U(1) in the entire β-range whereas for three- and four-dimensional U(1) the applicability is limited to the weak coupling regime (large β). The method fails completely for SU(2) and SU(3).
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8. |
- Aronsson, Gunnar
(författare)
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Construction of singular solutions to the p-harmonic equation and its limit equation for p=∞
- 1986
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Ingår i: Manuscripta mathematica. - 0025-2611 .- 1432-1785. ; 56:2, s. 135-158
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Tidskriftsartikel (refereegranskat)abstract
- Here, all solutions of the form u=rkf(φ) to the p-harmonic equation, div(|∇u|p-2∇u)=0, (p>2) in the plane are determined. One main result is a representation formula for such solutions. Further, solutions with an isolated singularity at the origin are constructed (Theorem 1). Graphical illustrations are given at the end of the paper. Finally, all solutions u=rkf(φ) of the limit equation for p=∞, ux2uxx+2uxuyuxy+uy2uyy=2, are constructed, some of which have a "strong" singularity at the origin (Theorem 2).
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9. |
- Aronsson, Gunnar
(författare)
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Linear control theory applied to a minimum-maximum problem
- 1983
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Ingår i: Journal of Approximation Theory. - : Elsevier BV. - 0021-9045 .- 1096-0430. ; 38:1, s. 90-100
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Tidskriftsartikel (refereegranskat)abstract
- A linearisation technique and well-established linear control theory are used to derive relevant information concerning the extremal functions in a minimum-maximum problem.
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10. |
- Aronsson, Gunnar
(författare)
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On certain singular solutions of the partial differential equation ux2uxx+2uxuyuxy+uy2uyy=0
- 1984
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Ingår i: Manuscripta mathematica. - 0025-2611 .- 1432-1785. ; 47:1-3, s. 133-151
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Tidskriftsartikel (refereegranskat)abstract
- The partial differential equation treated here is the formal limit of the p-harmonic equation in R2, for p →∞. Questions related to the smoothness of solutions and the possible existence of stationary points are central for the theory. The singular solutions constructed here bring new light on these questions.
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