Results 21 to 30 of about 65,671 (226)
Singular quasilinear critical Schrödinger equations in $ \mathbb {R}^N $
Communications on Pure & Applied Analysis, 2022 We prove multiplicity results for solutions, both with positive and negative energy, for a class of singular quasilinear Schrödinger equations in the entire \begin{document}$ \mathbb {R}^N $\end{document} involving a critical term, nontrivial weights and
Laura Baldelli, Roberta Filippucci
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Small perturbations of critical nonlocal equations with variable exponents
Demonstratio Mathematica, 2023 In this article, we are concerned with the following critical nonlocal equation with variable exponents: (−Δ)p(x,y)su=λf(x,u)+∣u∣q(x)−2uinΩ,u=0inRN\Ω,\left\{\begin{array}{ll}{\left(-\Delta )}_{p\left(x,y)}^{s}u=\lambda f\left(x,u)+{| u| }^{q\left(x)-2}u&
Tao Lulu, He Rui, Liang Sihua
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Open Mathematics, 2023 We deal with multiplicity of solutions to the following Schrödinger-Poisson-type system in this article: ΔHu−μ1ϕ1u=∣u∣2u+Fu(ξ,u,v),inΩ,−ΔHv+μ2ϕ2v=∣v∣2v+Fv(ξ,u,v),inΩ,−ΔHϕ1=u2,−ΔHϕ2=v2,inΩ,ϕ1=ϕ2=u=v=0,on∂Ω,\left\{\begin{array}{ll}{\Delta }_{H}u-{\mu }_{1}{
Li Shiqi, Song Yueqiang
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Isoperimetric Clusters in Homogeneous Spaces via Concentration Compactness [PDF]
Journal of Geometric Analysis, 2021 We show the existence of generalized clusters of a finite or even infinite number of sets, with minimal total perimeter and given total masses, in metric measure spaces homogeneous with respect to a group acting by measure preserving homeomorphisms, for ...
M. Novaga +3 more
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Deducing a Variational Principle with Minimal A Priori Assumptions [PDF]
Electronic Journal of Combinatorics, 2019 We study the well-known variational and large deviation principle for graph homomorphisms from $\mathbb{Z}^m$ to $\mathbb{Z}$. We provide a robust method to deduce those principles under minimal a priori assumptions.
Andrew Krieger, G. Menz, M. Tassy
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The concentration-compactness principle for variable exponent spaces and applications
Electronic Journal of Differential Equations, 2009 In this article, we extend the well-known concentration - compactness principle by Lions to the variable exponent case. We also give some applications to the existence problem for the p(x)-Laplacian with critical growth.
Fernandez Bonder, Julian, Silva, Analia
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Reduction and a Concentration-Compactness Principle for Energy-Casimir Functionals [PDF]
SIAM Journal on Mathematical Analysis, 2001 23 ...
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Topological Methods in Nonlinear Analysis, 2018 The paper is dedicated to the theory of concentration-compactness principles for inhomogeneous fractional Sobolev spaces. This subject for the local case has been studied since the publication of the celebrated works due to P.-L.
Ó. JoãoMarcosdo, Diego Ferraz
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An abstract version of the concentration compactness principle
Revista Matemática Complutense, 2001 We prove an abstract version of concentration compactness principle in Hilbert space and show its applications to a range of elliptic problems on unbounded domains.
Ian Schindler, Kyril Tintarev
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Studies on a system of nonlinear Schrödinger equations with potential and quadratic interaction [PDF]
Mathematische NachrichtenIn this work, we study the existence of various classes of standing waves for a nonlinear Schrödinger system with quadratic interaction, along with a harmonic or partially harmonic potential.
Vicente Alvarez, A. Esfahani
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