Results 51 to 60 of about 179 (164)
Harmonic maps to the circle with higher dimensional singular set
Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.Abstract In a closed, oriented ambient manifold (Mn,g)$(M^n,g)$ we consider the problem of finding S1$\mathbb {S}^1$‐valued harmonic maps with prescribed singular set. We show that the boundary of any oriented (n−1)$(n-1)$‐submanifold can be realised as the singular set of an S1$\mathbb {S}^1$‐valued map, which is classically harmonic away from the ...
Marco Badran
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Oscillation estimates relative to p-homogeneous forms and Kato measures data
Le Matematiche, 2006 We state pointwise estimate for the positive subsolutions associated to a p-homogeneous form and nonnegative Radon measures data. As a by-product we establish an oscillation’s estimate for the solutions relative to Kato measures data.
Marco Biroli, Silvana Marchi
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Communications on Pure and Applied Mathematics, Volume 79, Issue 1, Page 3-88, January 2026.Abstract We address the problem of regularity of solutions ui(t,x1,…,xN)$u^i(t, x^1, \ldots, x^N)$ to a family of semilinear parabolic systems of N$N$ equations, which describe closed‐loop equilibria of some N$N$‐player differential games with Lagrangian having quadratic behaviour in the velocity variable, running costs fi(x)$f^i(x)$ and final costs gi(
Marco Cirant, Davide Francesco Redaelli
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Smooth subsolutions of the discounted Hamilton-Jacobi equations
Differential and Integral EquationsFor the discounted Hamilton-Jacobi equation,$$λu+H(x,d_x u)=0, \ x \in M, $$we construct $C^{1,1}$ subsolutions which are indeed solutions on the projected Aubry set. The smoothness of such subsolutions can be improved under additional hyperbolicity assumptions.
Huang, Xiyao +3 more
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Six One‐Sign Solutions for Semilinear Elliptic Problems in ℝN*
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this work, we consider the existence of one‐sign solutions for semilinear elliptic problems: {−Δu = λa(x)f(u), in ℝN, u(x)⟶0, as|x|⟶+∞, where N ≥ 3, λ is a real parameter and a ∈ C(ℝN, ℝ) is a weighted function, f ∈ C(ℝ, ℝ). Furthermore, by bifurcation technique, we identify the interval of bifurcation parameter in which the semilinear elliptic ...
Wenguo Shen, Claudia Capone
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Bruno Pini Mathematical Analysis SeminarGeneral potential theories concern the study of functions which are subharmonic with respect to a suitable constraint set $\cF$ in the space of 2-jets. While interesting in their own right, general potential theories are being widely used to study fully ...
F. Reese Harvey, Kevin R. Payne
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Mean values of subsolutions of elliptic and parabolic equations [PDF]
Transactions of the American Mathematical Society, 1983 Integral averages of weak subsolutions (and supersolutions) in R n
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Journal of Mathematics, Volume 2026, Issue 1, 2026.Inspired by a fundamental existence result in the theory of PDEs, we present a general existence theorem for viscosity solutions in the standard sense that is applicable to a wide class of partial differential equations. These equations are characterized by coefficients that are merely measurable, with no continuity assumptions imposed.
S. M. E. Hosseini +2 more
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Advances in Nonlinear Analysis, 2018 We investigate the asymptotic behavior of solutions to a semilinear heat equation with homogeneous Neumann boundary conditions. It was recently shown that the nontrivial kernel of the linear part leads to the coexistence of fast solutions decaying to 0 ...
Ghisi Marina +2 more
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Subsolutions and supersolutions in a free boundary problem
Arkiv för Matematik, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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