Results 31 to 40 of about 485,328 (331)
Concentration-compactness at the mountain pass level in semilinear elliptic problems
, 2007 The concentration compactness framework for semilinear elliptic equations without compactness, set originally by P.-L.Lions for constrained minimization in the case of homogeneous nonlinearity, is extended here to the case of general nonlinearities in ...
TIntarev, Kyril
core +2 more sources
GENERAL QUASILINEAR PROBLEMS INVOLVING \(p(x)\)-LAPLACIAN WITH ROBIN BOUNDARY CONDITION
Ural Mathematical Journal, 2020 This paper deals with the existence and multiplicity of solutions for a class of quasilinear problems involving \(p(x)\)-Laplace type equation, namely $$ \left\{\begin{array}{lll} -\mathrm{div}\, (a(| \nabla u|^{p(x)})| \nabla u|^{p(x)-2} \nabla u ...
Hassan Belaouidel +2 more
doaj +1 more source
Advanced Functional Materials, EarlyView.Cu‐based catalysts as a cornerstone in advancing sustainable energy technologies are fully reviewed in this manuscript, highlighting their potential in photo‐ and electrocatalysis. It includes metallic copper, copper oxides, copper sulfides, copper halide perovskites, copper‐based metal–organic frameworks (MOFs), and covalent organic frameworks (COFs),
Jéssica C. de Almeida +16 more
wiley +1 more source
Mountain pass solutions for nonlocal equations
Annales Academiae Scientiarum Fennicae Mathematica, 2014 In this paper, the authors study the following nonlocal Dirichlet problem: \[ \left\{\begin{aligned} &\left[M\Big(\int_{\Omega} |\nabla u(x)|^p\,dx\Big)\right]^{p-1}\Delta_pu = f(x,u) \quad \text{in } \Omega, \\ &u|_{\partial\Omega} =0, \end{aligned}\right.
Molica Bisci G, Radulescu V
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Nontrivial Solutions for Asymmetric Kirchhoff Type Problems
Abstract and Applied Analysis, 2014 We consider a class of particular Kirchhoff type problems with a right-hand side nonlinearity which exhibits an asymmetric growth at +∞ and −∞ in ℝN(N=2,3). Namely, it is 4-linear at −∞ and 4-superlinear at +∞.
Ruichang Pei, Jihui Zhang
doaj +1 more source
ГОРНЫЙ УДАР – ПРИЧИНА ВЫБРОСА МЕТАНА В УГОЛЬНОЙ ШАХТЕ?
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2015 Предложена модель, в которой горный удар (техногенное землетрясение) – представлен как выход ударной волны на внутреннюю стенку шахты. При этом возникает волна разгрузки, растяжения, двигающаяся в обратном (вглубь стенки) направлении.
В.В.Кузнецов, V.V. Kuznetsov
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Microbubble Shell Stiffness Engineering Enhances Ultrasound Imaging, Drug Delivery, and Sonoporation
Advanced Materials, EarlyView.Shell‐engineered poly(alkyl cyanoacrylate) microbubbles with tunable stiffness improve ultrasound imaging and therapy. Adjusting the length of the alkyl chain and the glass transition temperature maintains a narrow microbubble size distribution while enhancing drug loading, sonoporation and the acoustic response.
Roman A. Barmin +30 more
wiley +1 more source
A Mountain Pass for Reacting Molecules [PDF]
Annales Henri Poincaré, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
Advanced Nonlinear StudiesThe existence of L 2–normalized solutions is studied for the equation −Δu+μu=f(x,u) inRN,∫RNu2dx=m. $-{\Delta}u+\mu u=f\left(x,u\right)\quad \quad \text{in} {\mathbf{R}}^{N},\quad {\int }_{{\mathbf{R}}^{N}}{u}^{2} \mathrm{d}x=m.$ Here m > 0 and f(x, s)
Ikoma Norihisa, Yamanobe Mizuki
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On the existence of solutions for a boundary value problem on the half-line
Electronic Journal of Qualitative Theory of Differential Equations, 2018 In this note we consider Dirichlet boundary value problem on a half line. Using critical point theory we prove the existence of at least one nontrivial solution.
Marek Galewski +2 more
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