Results 41 to 50 of about 2,592,777 (103)
Existence of Normalized Solutions of a Hartree–Fock System With Mass Subcritical Growth
Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12309-12319, August 2025.ABSTRACT In this paper, we are concerned with normalized solutions of a class of Hartree‐Fock type systems. By seeking the constrained global minimizers of the corresponding functional, we prove that the existence and nonexistence of normalized solutions.
Hua Jin +3 more
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The Palais-Smale Condition on Contact Type Energy Levels for Convex Lagrangian Systems [PDF]
, 2003 Let L be a convex superlinear autonomous Lagrangian on a closed con- nected manifold N. We consider critical values of Lagrangians as de ned by R. Ma~ne in [23]. We de ne energy levels satisfying the Palais-Smale condition and we show that the critical
GONZALO ALBERTO CONTRERAS BARANDIARAN
core
Diffeomorphisms of 4‐manifolds from graspers
Proceedings of the London Mathematical Society, Volume 131, Issue 1, July 2025.Abstract We relate degree one grasper families of embedded circles to various constructions of diffeomorphisms found in the literature, theta clasper classes of Watanabe, barbell diffeomorphisms of Budney and Gabai, and twin twists of Gay and Hartman. We use a ‘parametrised surgery map’ that for a smooth 4‐manifold M$M$ takes loops of framed embeddings
Danica Kosanović
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A version of Zhong's coercivity result for a general class of nonsmooth functionals
Abstract and Applied Analysis, 2002 A version of Zhong's coercivity result (1997) is established for nonsmooth functionals expressed as a sum Φ+Ψ, where Φ is locally Lipschitz and Ψ is convex, lower semicontinuous, and proper.
D. Motreanu, V. V. Motreanu, D. Paşca
doaj +1 more source
Ground State Solutions for General Choquard Equation With the Riesz Fractional Laplacian
Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.In this work, we study the existence of a nonzero solution for the following nonlinear general Choquard equation (CE): −Δν+ν=−ΔD−α2 ∗ Fνfν,in ℝN, where N ≥ 3, F represents the primitive function of f, f∈CR;R is a function that fulfils the general Berestycki–Lions conditions, ΔD denotes the Laplacian operator on Ω with zero Dirichlet boundary conditions
Sarah Abdullah Qadha +4 more
wiley +1 more source
An estimate on the relative Morse index for strongly indefinite functionals
Electronic Journal of Differential Equations, 2001 We extend the Benci and Rabinowitz linking theorem to strongly indefinite functionals satisfying the Palais-Smale condition. More precisely, we show an upper estimate for a relative Morse index of critical points.
A. Abbondandolo, P. Felmer, J. Molina
doaj
Математичні СтудіїThe paper is devoted to Fermi--Pasta--Ulam type system that describe an infinite system of nonlinearly coupled particles with nonlocal interaction on a two dimensional integer-valued lattice.
S. M. Bak, H. M. Kovtoniuk
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Concentration–Compactness Principle to a Weighted Moser–Trudinger Inequality and Its Application
Journal of Mathematics, Volume 2025, Issue 1, 2025.We employ level‐set analysis of functions to establish a sharp concentration–compactness principle for the Moser–Trudinger inequality with power weights in R+2. Furthermore, we systematically prove the existence of ground state solutions to the associated nonlinear partial differential equation.
Yubo Ni, Agacik Zafer
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Existence and multiplicity of solutions for Dirichlet problems involving the p(x)-Laplace operator
Electronic Journal of Differential Equations, 2013 In this article, we study superlinear Dirichlet problems involving the p(x)-Laplace operator without using the Ambrosetti-Rabinowitz's superquadraticity condition.
Mustafa Avci
doaj
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, we investigate multiplicity, existence, and nonexistence of periodic solutions to a fourth‐order partial difference equation via linking theorem and saddle point theorem. Our obtained results significantly generalize and improve some existing ones.
Dan Li, Yuhua Long, Ji Gao
wiley +1 more source