Results 91 to 100 of about 6,453 (213)
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract For large classes of even‐dimensional Riemannian manifolds (M,g)$(M,g)$, we construct and analyze conformally invariant random fields. These centered Gaussian fields h=hg$h=h_g$, called co‐polyharmonic Gaussian fields, are characterized by their covariance kernels k which exhibit a precise logarithmic divergence: |k(x,y)−log1d(x,y)|≤C$\big ...
Lorenzo Dello Schiavo +3 more
wiley +1 more source
Non-Smooth Stochastic Lyapunov Functions With Weak Extension of Viscosity Solutions
, 2019 This paper proposes a notion of viscosity weak supersolutions to build a bridge between stochastic Lyapunov stability theory and viscosity solution theory.
Hoshino, Kenta, Nishimura, Yuki
core
Some remarks on the comparison principle in Kirchhoff equations [PDF]
, 2018 In this paper we study the validity of the comparison principle and the sub-supersolution method for Kirchhoff type equations. We show that these principles do not work when the Kirchhoff function is increasing, contradicting some previous results.
Malcher Figueiredo, Giovany de Jesus +1 more
core
Existence of solutions for a nonlinear degenerate elliptic system
Electronic Journal of Differential Equations, 2004 In this paper, we study the existence of solutions for degenerate elliptic systems. We use the sub-super solution method, and the existence of classical and weak solutions.
Nguyen Minh, Tran Dinh Ke
doaj
Leapfrogging vortex rings for the three‐dimensional incompressible Euler equations
Communications on Pure and Applied Mathematics, Volume 77, Issue 10, Page 3843-3957, October 2024.Abstract A classical problem in fluid dynamics concerns the interaction of multiple vortex rings sharing a common axis of symmetry in an incompressible, inviscid three‐dimensional fluid. In 1858, Helmholtz observed that a pair of similar thin, coaxial vortex rings may pass through each other repeatedly due to the induced flow of the rings acting on ...
Juan Dávila +3 more
wiley +1 more source
Asymptotic behavior of positive solutions of a semilinear Dirichlet problem in exterior domains
Electronic Journal of Differential Equations, 2018 In this article, we study the existence, uniqueness and the asymptotic behavior of a positive classical solution to the semilinear boundary value problem $$\displaylines{ -\Delta u=a(x)u^{\sigma }\quad \text{in }D, \cr u|_{\partial D}=0,\quad ...
Habib Maagli +2 more
doaj
Polar sets for supersolutions of degenerate elliptic equations.
MATHEMATICA SCANDINAVICA, 1988 On considere une equation aux derivees partielles homogene d'ordre 2: ⊇•A(x,⊇u)=0, ou A:R n ×R n →R n est un operateur non lineaire elliptique avec A(x,h)•h∼|h| p ...
Heinonen, Juha, Kilpeläinen, Tero
openaire +1 more source
Existence and comparison results for quasilinear evolution hemivariational inequalities
Electronic Journal of Differential Equations, 2004 We generalize the sub-supersolution method known for weak solutions of single and multivalued nonlinear parabolic problems to quasilinear evolution hemivariational inequalities.
Siegfried Carl +2 more
doaj
On a Neumann Problem with an Intrinsic Operator
AxiomsThis paper investigates the existence and location of solutions for a Neumann problem driven by a (p,q) Laplacian operator and with a reaction term that depends not only on the solution and its gradient but also incorporates an intrinsic operator, which ...
Dumitru Motreanu, Angela Sciammetta
doaj +1 more source
Existence of solutions for singular (p,q)-Kirchhoff type systems with multiple parameters
Electronic Journal of Differential Equations, 2016 This article concerns the existence of positive solutions for singular (p,q)-Kirchhoff type systems with multiple parameters. Our approach is based on the method of sub- and super-solutions.
Sayyed Hashem Rasouli
doaj