Results 41 to 50 of about 3,762 (154)

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
wiley   +1 more source

Some properties of Palais-Smale sequences with applications to elliptic boundary-value problems

Electronic Journal of Differential Equations, 1999
When using calculus of variations to study nonlinear elliptic boundary-value problems on unbounded domains, the Palais-Smale condition is not always satisfied.
Chao-Nien Chen, Shyuh-Yaur Tzeng
doaj  

Positive ground states for nonlinear Schrödinger–Kirchhoff equations with periodic potential or potential well in R 3 $\mathbf{R}^{3}$

Boundary Value Problems, 2022
This work is devoted to the nonlinear Schrödinger–Kirchhoff-type equation − ( a + b ∫ R 3 | ∇ u | 2 d x ) Δ u + V ( x ) u = f ( x , u ) , in  R 3 , $$ - \biggl( a+b \int _{\mathbb{R}^{3}} \vert \nabla u \vert ^{2} \,\text{d}x \biggr) \Delta u+V(x)u=f(x,u)
Wei Chen, Zunwei Fu, Yue Wu
doaj   +1 more source

Curve-straightening and the Palais-Smale condition [PDF]

Transactions of the American Mathematical Society, 1998
This paper considers the negative gradient trajectories associated with the modified total squared curvature functional ∫ k 2 + ν d s \int k^{2} +\nu ds . The focus is on the limiting behavior as ν \nu tends to zero from the positive
openaire   +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, Muneera Abdullah Qadha, Haibo Chen, Yuying Zao, Kang-Jia Wang   +4 more
wiley   +1 more source

The concentration-compactness principle for variable exponent spaces and applications [PDF]

, 2009
In this paper we extend the well-known concentration -- compactness principle of P.L. Lions to the variable exponent case.
Bonder, J. Fernandez, Silva, A.
core   +3 more sources

Multiple perturbations of a singular eigenvalue problem

, 2015
We study the perturbation by a critical term and a $(p-1)$-superlinear subcritical nonlinearity of a quasilinear elliptic equation containing a singular potential. By means of variational arguments and a version of the concentration-compactness principle
Cencelj, Matija, Repovš, Dušan, Virk, Žiga   +2 more
core   +1 more source

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
wiley   +1 more source

Subsonic periodic traveling waves in Fermi–Pasta–Ulam type systems with nonlocal interaction on 2d-lattice

Математичні Студії
The 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
doaj   +1 more source

Existence and Nonexistence of Periodic Solutions for a Class of Fourth‐Order Partial Difference Equations

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