Results 21 to 30 of about 733 (91)
Boundary Value Problems, 2013 Under the suitable assumptions, we establish the existence of nontrivial solutions for a perturbed p-Laplacian system in RN with critical nonlinearity and magnetic fields by using the variational method.MSC:35B33, 35J60, 35J65.
Huixing Zhang, Jiayin Liu, Wenbin Liu
semanticscholar +2 more sources
Fractional Hardy-Sobolev equations with nonhomogeneous terms
Advances in Nonlinear Analysis, 2021 This paper deals with existence and multiplicity of positive solutions to the following class of nonlocal equations with critical nonlinearity:
Bhakta Mousomi +2 more
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From Nash to Cournot-Nash equilibria via the Monge-Kantorovich problem [PDF]
, 2014 The notion of Nash equilibria plays a key role in the analysis of strategic interactions in the framework of $N$ player games. Analysis of Nash equilibria is however a complex issue when the number of players is large.
Blanchet, Adrien, Carlier, Guillaume
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Boundary Value Problems, 2014 In this paper, we deal with the existence and multiplicity of solutions for perturbed Schrödinger equation with electromagnetic fields and critical nonlinearity in RN: −ε2ΔAu(x)+V(x)u(x)=|u|2∗−2u+h(x,|u|2)u for all x∈RN, where ∇Au(x):=(∇+iA(x))u, V(x) is
Sihua Liang, Yueqiang Song
semanticscholar +2 more sources
Advances in Nonlinear Analysis, 2021 We study the wave inequality with a Hardy ...
Jleli Mohamed +2 more
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The sharp upper bound of the lifespan of solutions to critical semilinear wave equations in high dimensions [PDF]
, 2010 The final open part of Strauss' conjecture on semilinear wave equations was the blow-up theorem for the critical case in high dimensions. This problem was solved by Yordanov and Zhang in 2006, or Zhou in 2007 independently.
Takamura, Hiroyuki, Wakasa, Kyouhei
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Advanced Nonlinear Studies, 2023 We consider the existence and nonexistence of the positive solution for the following Brézis-Nirenberg problem with logarithmic perturbation: −Δu=∣u∣2∗−2u+λu+μulogu2x∈Ω,u=0x∈∂Ω,\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{ll}-\Delta u={| u| }^{{2}^
Deng Yinbin +3 more
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Conformal Metrics with Constant Q-Curvature [PDF]
, 2007 We consider the problem of varying conformally the metric of a four dimensional manifold in order to obtain constant $Q$-curvature. The problem is variational, and solutions are in general found as critical points of saddle type.
Malchiodi, Andrea
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On Singular Liouville Equations and Systems
Advanced Nonlinear Studies, 2017 We consider some singular Liouville equations and systems motivated by uniformization problems in a non-smooth setting, as well as from models in mathematical physics.
Malchiodi Andrea
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Advances in Nonlinear Analysis, 2023 This work is concerned with the nonexistence of nontrivial nonnegative weak solutions for a quasilinear parabolic differential inequality with weighted nonlocal source term in the whole space, which involves weighted polytropic filtration operator or ...
Li Yuepeng, Fang Zhong Bo
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