Results 61 to 70 of about 839,332 (169)

Multiplicity results for logarithmic double phase problems via Morse theory

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 4178-4201, December 2025.
Abstract In this paper, we study elliptic equations of the form −divL(u)=f(x,u)inΩ,u=0on∂Ω,$$\begin{align*} -\operatorname{div}\mathcal {L}(u)=f(x,u)\quad \text{in }\Omega, \quad u=0 \quad \text{on } \partial \Omega, \end{align*}$$where divL$\operatorname{div}\mathcal {L}$ is the logarithmic double phase operator given by div|∇u|p−2∇u+μ(x)|∇u|q(e+|∇u ...
Vicenţiu D. Rădulescu, Matheus F. Stapenhorst, Patrick Winkert   +2 more
wiley   +1 more source

Mountains of Our Future Earth: Defining Priorities for Mountain Research: A Synthesis From the 2015 Perth III Conference [PDF]

, 2016
The Perth conferences, held every 5 years in Perth, Scotland, bring together people who identify as mountain researchers and who are interested in issues related to global change in mountain social-ecological systems.
Balsiger, Jörg, Gleeson, Erin H., Wymann von Dach, Susanne, von Dach, Susanne Wymann, Anne Nolin, Price, Martin F., Erin H. Gleeson, Gleeson, Erin Holly, Balsiger, J., Susanne Wymann von Dach, Flint, Courtney G., Martin F. Price, Greenwood, Gregory B., Price, M.F., Gregory B. Greenwood, Nolin, Anne, Flint, C.G., Vanacker, Veerle, Jörg Balsiger, Gleeson, E.H., Greenwood, G.B., Courtney G. Flint, Von Dach, S.W., Veerle Vanacker, Greenwood, Gregory, Nolin, A.   +25 more
core   +2 more sources

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  

A Mountain Pass to the Jacobian Conjecture

, 1998
This paper presents an approach to injectivity theorems via the Mountain Pass Lemma and raises an open question. The main result of this paper (Theorem 1.1) is proved by means of the Mountain Pass Lemma and states that if the eigenvalues of are ...
Marc Chamberland, Gary Meisters
core   +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

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

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

Multiplicity of solutions to the sum of polyharmonic equations with critical Sobolev exponents

Electronic Journal of Differential Equations, 2015
In this article, we prove multiplicity of solutions for the sum of polyharmonic equation with critical Sobolev exponent. The proof is based upon the methods of weakly lower semi-continuous of the functionals and the Mountain Pass Lemma without (PS ...
Wei Liu, Gao Jia, Lu-Quian Guo
doaj