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- 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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| 4. |
- Aronsson, Gunnar, et al.
(författare)
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Grand Canyon : a quantitative approach to the erosion and weathering of a stratified bedrock
- 1982
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Ingår i: Earth Surface Processes and Landforms. - : Wiley. - 0197-9337 .- 1096-9837. ; 7:6, s. 589-599
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Tidskriftsartikel (refereegranskat)abstract
- A new method is proposed for solving a differential equation arising from weathering-limited development of a valley. Allowance is made for horizontal stratification and overhang can be allowed to develop. The model is applied to the Grand Canyon and comments are included on its relevance
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| 5. |
- 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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- 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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- Jernelöv, Arne, et al.
(författare)
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Population management - ett försök att minska kvicksilverhalten i gädda i Helgasjön.
- 1980
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Rapport (övrigt vetenskapligt/konstnärligt)abstract
- Resultat från fisken 1979 visade oväntat stor andel gös bland rovfisken i Helgasjön. Då gösens föda utgörs till mindre del än gäddans av abborre motverkar den stora göspopulationen och dess predation ansträngningarna att med riktat fiske påverka abborrpopulationen med avseende på individantal och tillväxttakt. Undersökningarna 1980 bekräftar abborrens nyckelroll för kvicksilverhalten i gädda i Helgasjön.
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