Results 31 to 40 of about 43 (42)
Proceedings of the London Mathematical Society, Volume 131, Issue 2, August 2025.Abstract We study fine properties of the principal frequency of clamped plates in the (possibly singular) setting of metric measure spaces verifying the RCD(0,N)${\sf RCD}(0,N)$ condition, that is, infinitesimally Hilbertian spaces with nonnegative Ricci curvature and dimension bounded above by N>1$N>1$ in the synthetic sense.
Alexandru Kristály, Andrea Mondino
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 9225-9240, 30 May 2025.ABSTRACT In this paper, we consider the energy critical nonlinear Schrödinger equation with a repulsive inverse square potential. In particular, we deal with radial initial data, whose energy is equal to the energy of static solution to the corresponding nonlinear Schrödinger equation without a potential.
Masaru Hamano, Masahiro Ikeda
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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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Stabilization for degenerate equations with drift and small singular term
Mathematical Methods in the Applied Sciences, Volume 48, Issue 4, Page 5086-5109, 15 March 2025.We consider a degenerate/singular wave equation in lone dimension, with drift and in presence of a leading operator that is not in divergence form. We impose a homogeneous Dirichlet boundary condition where the degeneracy occurs and a boundary damping at the other endpoint.
Genni Fragnelli +2 more
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Global second‐order estimates in anisotropic elliptic problems
Proceedings of the London Mathematical Society, Volume 130, Issue 3, March 2025.Abstract This work deals with boundary value problems for second‐order nonlinear elliptic equations in divergence form, which emerge as Euler–Lagrange equations of integral functionals of the Calculus of Variations built upon possibly anisotropic norms of the gradient of trial functions.
Carlo Alberto Antonini +4 more
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Effective upper bounds on the number of resonances in potential scattering
Mathematika, Volume 71, Issue 1, January 2025.Abstract We prove upper bounds on the number of resonances and eigenvalues of Schrödinger operators −Δ+V$-\Delta +V$ with complex‐valued potentials, where d⩾3$d\geqslant 3$ is odd. The novel feature of our upper bounds is that they are effective, in the sense that they only depend on an exponentially weighted norm of V.
Jean‐Claude Cuenin
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Refined and Generalized Versions of Hölder’s Inequality via Schur Convexity of Functions
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this paper, we introduce a class of functions associated with Hölder’s inequality and show the Schur convexities of these functions. With the help of Schur convexity, several improved versions of Hölder’s inequality are established. The results obtained here are the generalizations and refinements of the existing results for Hölder’s inequality.
Shanhe Wu, Raúl E. Curto
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Analyze Second‐Order PDEs Using the Volterra–Fredholm Integral Equation
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this study, we propose a novel approach to address a particular second‐order partial differential equation along with its boundary value conditions (SPDEs). In this process, we transfer the SPDEs problem into Volterra–Fredholm integral equation (VFIE), and we perform the Tau method bases on orthogonal Legendre polynomials directly, for solution of ...
Choonkil Park +2 more
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Generalization of Hilbert-Hardy Integral Inequalities
Kuwait Journal of Science, 2018 In this paper, Hilbert's integral inequalities with some parameters are considered, by using new methods in the proof. Several results of Hardy and Yang are special cases of the new given inequality. As an application, we give some applied examples that
Sobhy a Mahrouf
doaj
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this study, we introduce a novel class of mappings called orthogonal extended interpolative enriched Ćirić–Reich–Rus type ψF‐contractions and establish fixed‐point results within the framework of orthogonal complete convex extended b‐metric spaces. The unique fixed point is approximated using a Krasnoselskii‐type iterative method. To demonstrate the
Shivani Kukreti +4 more
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