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1. Some problems in the theory of quadratic forms
Sammanfattning : .... LÄS MER
2. On polyharmonic continuation by reflection formulas
Sammanfattning : .... LÄS MER
3. Lindström quantifiers and higher-order notions on finite structures
Sammanfattning : The expressive power of first-order logic is very limited on finite structures. One important way to obtain stronger logics is to add Lindström quantifiers, and another is to add higher-order quantification. We investigate two different ways of combing the two approaches. LÄS MER
4. Random railways and cycles in random regular graphs
Sammanfattning : In a cubic multigraph certain restrictions on the paths are made to define what is called a railway. Due to these restrictions a special kind of connectivity is defined. As the number of vertices tends to infinity, the asymptotic probability of obtaining an, in this sense, connected random cubic multigraph is shown to be 1/3. LÄS MER
5. Nonlinear elliptic problems with boundary blow-up
Sammanfattning : A classical problem in differential geometry is the prescribed curvature problemin a bounded domain, where the task is to conformally deform the Euclidean metric to another complete Riemannian metric with a prescribed curvature function.If this function is negative, the problem is equivalent to solving a nonlinear elliptic partial differential equation with boundary blow-up. LÄS MER
