Results 51 to 60 of about 247 (144)

Homoclinic orbits for a class of symmetric Hamiltonian systems

Electronic Journal of Differential Equations, 1994
of Hamiltonian systems that are symmetric with respect to independent variable (time). For the scalar case we prove existence and uniqueness of a positive homoclinic solution. For the system case we prove existence of symmetric homoclinic orbits.
Philip Korman, Alan C. Lazer
doaj  

Normalized solutions of the critical Schrödinger–Bopp–Podolsky system with logarithmic nonlinearity

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract In this paper, we study the following critical Schrödinger–Bopp–Podolsky system driven by the p$p$‐Laplace operator and a logarithmic nonlinearity: −Δpu+V(εx)|u|p−2u+κϕu=λ|u|p−2u+ϑ|u|p−2ulog|u|p+|u|p*−2uinR3,−Δϕ+a2Δ2ϕ=4π2u2inR3.$$\begin{equation*} {\begin{cases} -\Delta _p u+\mathcal {V}(\varepsilon x)|u|^{p-2}u+\kappa \phi u=\lambda |u|^{p-2 ...
Sihua Liang, Xueqi Sun, Shuaishuai Liang, Vicenţiu D. Rădulescu   +3 more
wiley   +1 more source

Fractional elliptic problems with two critical Sobolev-Hardy exponents

Electronic Journal of Differential Equations, 2018
By using the mountain pass lemma and a concentration compactness principle, we obtain the existence of positive solutions to the fractional elliptic problem with two critical Hardy-Sobolev exponents at the origin.
Wenjing Chen
doaj  

Racial bias in criminal sentencing: Historical evidence from Chinese railway workers in British Columbia

Canadian Journal of Economics/Revue canadienne d'économique, Volume 58, Issue 4, Page 1638-1663, November 2025.
Abstract Do discriminatory attitudes held in the public influence public institutions? We study this question within the context of the criminal justice system of historical British Columbia (BC). During the late 1870s and early 1880s, an influx of Chinese immigrant workers employed in the building of the Canadian Pacific Railway (CPR) was the catalyst
Kris Inwood, Ian Keay, Blair Long
wiley   +1 more source

Semilinear elliptic problems involving Hardy-Sobolev-Maz'ya potential and Hardy-Sobolev critical exponents

Electronic Journal of Differential Equations, 2016
In this article, we study a class of semilinear elliptic equations involving Hardy-Sobolev critical exponents and Hardy-Sobolev-Maz'ya potential in a bounded domain. We obtain the existence of positive solutions using the Mountain Pass Lemma.
Rui-Ting Jiang, Chun-Lei Tang
doaj  

Holomorphic field theories and higher algebra

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley   +1 more source

Potential and monotone homeomorphisms in Banach spaces

Advances in Nonlinear Analysis
Using the Ekeland variational principle and the mountain pass lemma we prove some properties about potential homeomorphisms between a real Banach space and its dual.
Bełdziński Michał, Galewski Marek
doaj   +1 more source

On ground state for a class of nonlinear Schrödinger equation

Journal of Taibah University for Science, 2018
I study the existence of ground state for the following periodic Schrödinger equation under the circumstance that the nonlinear term satisfies odd conditions by using the Mountain Pass Lemma and variational method. $$-\Delta u+V(x)u-\Delta(1+u^2)^{{1}/{2}
Ahamed Adam Abdelgadir
doaj   +1 more source

Brezis–Nirenberg type results for the anisotropic p$p$‐Laplacian

Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.
Abstract In this paper, we consider a quasilinear elliptic and critical problem with Dirichlet boundary conditions in presence of the anisotropic p$p$‐Laplacian. The critical exponent is the usual p★$p^{\star }$ such that the embedding W01,p(Ω)⊂Lp★(Ω)$W^{1,p}_{0}(\Omega) \subset L^{p^{\star }}(\Omega)$ is not compact.
Stefano Biagi, Francesco Esposito, Alberto Roncoroni, Eugenio Vecchi   +3 more
wiley   +1 more source

Effects of different land use types on soil characteristics and surface acidity in Sidama Region, Southern Ethiopia

Agrosystems, Geosciences &Environment, Volume 8, Issue 3, September 2025.
Abstract Converting forests and grasslands to farms can impact soil properties and increase acidity. This study examines the effects of various land use types (LUTs) (cultivated, grazing, and forest) on soil characteristics and surface acidity in the Hula and Gorche districts of southern Ethiopia, analyzing 72 soil samples from six villages.
Elias Dogiso, Wassie Haile, Tarekegn Yoseph, Bekele Lemma   +3 more
wiley   +1 more source