Results 51 to 60 of about 412 (197)
Location of solutions for quasi-linear elliptic equations with general gradient dependence
Electronic Journal of Qualitative Theory of Differential Equations, 2017 Existence and location of solutions to a Dirichlet problem driven by $(p,q)$-Laplacian and containing a (convection) term fully depending on the solution and its gradient are established through the method of subsolution-supersolution.
Dumitru Motreanu, Elisabetta Tornatore
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Polar Coordinates for the 3/2 Stochastic Volatility Model
Mathematical Finance, Volume 35, Issue 3, Page 708-723, July 2025.ABSTRACT The 3/2 stochastic volatility model is a continuous positive process s with a correlated infinitesimal variance process ν$\nu $. The exact definition is provided in the Introduction immediately below. By inspecting the geometry associated with this model, we discover an explicit smooth map ψ$ \psi $ from (R+)2$({\mathbb{R}}^+)^2 $ to the ...
Paul Nekoranik
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Existence and regularity for integro‐differential free transmission problem
Bulletin of the London Mathematical Society, Volume 57, Issue 7, Page 1923-1937, July 2025.Abstract We study an integro‐differential free transmission problem associated with the Bellman–Isaacs‐type operator that is solution‐dependent. The existence of a viscosity solution is proved by constructing solutions of suitable auxiliary problems for such a nonlocal problem.
Sun‐Sig Byun, Seunghyun Kim
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The De Giorgi method for local and nonlocal systems
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract We extend the De Giorgi iteration technique to the vectorial setting. For this we replace the usual scalar truncation operator by a vectorial shortening operator. As an application, we prove local boundedness for local and nonlocal nonlinear systems.
Linus Behn +3 more
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Ambrosetti-Prodi type results in a system of second and fourth-order ordinary differential equations
Electronic Journal of Differential Equations, 2008 In this paper, by the variational method, we study the existence, nonexistence, and multiplicity of solutions of an Ambrosetti-Prodi type problem for a system of second and fourth order ordinary differential equations.
Jing Feng, Yukun An
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On the isoperimetric Riemannian Penrose inequality
Communications on Pure and Applied Mathematics, Volume 78, Issue 5, Page 1042-1085, May 2025.Abstract We prove that the Riemannian Penrose inequality holds for asymptotically flat 3‐manifolds with nonnegative scalar curvature and connected horizon boundary, provided the optimal decay assumptions are met, which result in the ADM$\operatorname{ADM}$ mass being a well‐defined geometric invariant.
Luca Benatti +2 more
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Existence of solutions to p-Laplace equations with logarithmic nonlinearity
Electronic Journal of Differential Equations, 2009 This article concerns the the nonlinear elliptic equation $$ -hbox{div}(| abla u|^{p-2} abla u) =log u^{p-1}+lambda f(x,u) $$ in a bounded domain $Omega subset mathbb{R}^{N}$ with $Ngeq 1$ and $u=0$ on $partialOmega$.
Jing Mo, Zuodong Yang
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Novel Method for Measuring Carrier Diffusion Lengths in Metal‐Halide Perovskites
physica status solidi (RRL) – Rapid Research Letters, Volume 19, Issue 5, May 2025.The carrier diffusion length in metal‐halide perovskite films from approximate analysis of contactless quasi‐steady‐state photoconductance measurements is estimated. The technique is applied to two perovskite layers fabricated by wet‐chemical processing and coevaporation, respectively.
Benjamin Grimm +6 more
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The free boundary for semilinear problems with highly oscillating singular terms
Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.Abstract We investigate general semilinear (obstacle‐like) problems of the form Δu=f(u)$\Delta u = f(u)$, where f(u)$f(u)$ has a singularity/jump at {u=0}$\lbrace u=0\rbrace$ giving rise to a free boundary. Unlike many works on such equations where f$f$ is approximately homogeneous near {u=0}$\lbrace u = 0\rbrace$, we work under assumptions allowing ...
Mark Allen +2 more
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Magnetic helicity and subsolutions in ideal MHD
, 2018 We show that ideal 2D MHD does not possess weak solutions (or even subsolutions) with compact support in time and non-trivial magnetic field. We also show that the $ $-convex hull of ideal MHD has empty interior in both 2D and 3D; this is seen by finding suitable $ $-convex functions.
Faraco, Daniel, Lindberg, Sauli
openaire +2 more sources