Results 31 to 40 of about 200 (141)

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

Some nonlinear problems for the superposition of fractional operators with Neumann boundary conditions

Mathematische Nachrichten, Volume 298, Issue 8, Page 2570-2595, August 2025.
Abstract We discuss the existence theory of a nonlinear problem of nonlocal type subject to Neumann boundary conditions. Differently from the existing literature, the elliptic operator under consideration is obtained as a superposition of operators of mixed order. The setting that we introduce is very general and comprises, for instance, the sum of two
Serena Dipierro, Edoardo Proietti Lippi, Caterina Sportelli, Enrico Valdinoci   +3 more
wiley   +1 more source

A generalization of Ekeland's variational principle with applications

Electronic Journal of Differential Equations, 2006
In this paper, we establish a variant of Ekeland's variational principle. This result suggest to introduce a generalization of the famous Palais-Smale condition.
Abdel R. El Amrouss, Najib Tsouli
doaj  

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, Yanyun Chang, Marco Squassina, Jianjun Zhang   +3 more
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

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

Spectrum of a Self-Adjoint Operator and Palais-Smale Conditions [PDF]

Journal of the London Mathematical Society, 2000
Let \(S\) be a bounded or unbounded self-adjoint operator in a real Hilbert space \((H,\langle\cdot, \cdot\rangle)\). The first result states that \(S\) gives rise to unique bounded linear operators \(A\) and \(L\) in the form domain \(H_1= D(|S|^{1/2})\) of \(S\) equipped with its natural scalar product \[ \langle u,v\rangle_1:= \langle u,v\rangle ...
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

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