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Delaunay-type singular solutions for the fractional Yamabe problem

, 2015
We construct Delaunay-type solutions for the fractional Yamabe problem with an isolated singularity $$\begin{aligned} (-\Delta )^\gamma w= c_{n, {\gamma }}w^{\frac{n+2\gamma }{n-2\gamma }}, w>0 \quad \text{ in } \quad \mathbb R^n \backslash \{0\}.
A. DelaTorre   +3 more
semanticscholar   +1 more source

Singularities of Solutions of the Eikonal Equation

Differential Equations, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Perturbation of Solutions with Moving Singularities

Theoretical and Mathematical Physics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Solution of a Singular Integral Equation

Differential Equations, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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C-singular solutions of the capillary problem

Journal für die reine und angewandte Mathematik (Crelles Journal), 1999
Summary: The problem of determining the surface interface of fluid partly filling a semi-infinite capillary tube closed at one end is considered, in the absence of gravity. It is known that solutions of the formal equations for a solution as a graph covering the base do not in general exist. In this paper it is shown that whenever smooth solutions fail
Finn, Robert, Neel, Robert Weston
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REGULARITY OF SOLUTIONS FOR SINGULAR SCHRÖDINGER EQUATIONS

Reviews in Mathematical Physics, 1992
Local and global regularity properties of weak solutions of the Schrödinger equation −Δu+qu=λu play an important role in the spectral theory of the corresponding operator [Formula: see text]. Central among these properties is local boundedness of the solutions u, which is derived in an elementary way for potentials q whose negative parts q− lie in the
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Singular solutions in elasticity

Acta Mechanica, 1967
General solutions of the time-independent equations of motion for linear elasticity with couplestresses are studied. The completeness of a displacement potential similar to theGalerkin-Somigliana representation is proved. The fundamental singular solution of the field equations is defined with the aid of the reciprocal work theorem.
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The singular solutions to a singular quadratic minimization problem†

International Journal of Control, 1974
A number of generalizations of singular quadratic minimization theory for the finite-time case are considered. Also new stability results are derived for the infinite time problem, and novel techniques are introduced to facilitate the derivation of singular solutions for this case.
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