Results 11 to 20 of about 662 (108)
Complexity, 2020 The paper deals with the study of the existence of weak positive solutions for a new class of the system of elliptic differential equations with respect to the symmetry conditions and the right hand side which has been defined as multiplication of two ...
Youcef Bouizem +2 more
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Boundary regularity for manifold constrained p(x)‐harmonic maps
Journal of the London Mathematical Society, Volume 104, Issue 5, Page 2335-2375, December 2021., 2021 Abstract We prove partial and full boundary regularity for manifold constrained p(x)‐harmonic maps.
Iwona Chlebicka +2 more
wiley +1 more source
Transactions of the London Mathematical Society, Volume 8, Issue 1, Page 206-242, December 2021., 2021 Abstract In this paper, we study a class of fractional Schrödinger equations involving logarithmic and critical non‐linearities on an unbounded domain, and show that such an equation with positive or sign‐changing weight potentials admits at least one positive ground state solution and the associated energy is positive (or negative).
Haining Fan, Zhaosheng Feng, Xingjie Yan
wiley +1 more source
Regularity for the two‐phase singular perturbation problems
Proceedings of the London Mathematical Society, Volume 123, Issue 5, Page 433-459, November 2021., 2021 Abstract We prove that an a priori bounded mean oscillation (BMO) gradient estimate for the two‐phase singular perturbation problem implies Lipschitz regularity for the limits. This problem arises in the mathematical theory of combustion, where the reaction diffusion is modeled by the p‐Laplacian. A key tool in our approach is the weak energy identity.
Aram Karakhanyan
wiley +1 more source
Mathematical analysis of a discrete fracture model coupling Darcy flow in the matrix with Darcy-Forchheimer flow in the fracture [PDF]
arXiv.org, 2014 We consider a model for flow in a porous medium with a fracture in which the flow in the fracture is governed by the DarcyForchheimer law while that in the surrounding matrix is governed by Darcy's law.
P. Knabner, J. Roberts
semanticscholar +1 more source
A Liouville theorem for the Hénon-Lane-Emden system in four and five dimensions
Advanced Nonlinear Studies, 2022 In the present article, we investigate the following Hénon-Lane-Emden elliptic system: −Δu=∣x∣avp,x∈RN,−Δv=∣x∣buq,x∈RN,\left\{\begin{array}{ll}-\Delta u={| x| }^{a}{v}^{p},& x\in {{\mathbb{R}}}^{N},\\ -\Delta v={| x| }^{b}{u}^{q},& x\in {{\mathbb{R}}}^{N}
Li Hang
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Asymptotic behavior of solutions of fully nonlinear equations over exterior domains
, 2021 In this paper, we consider the asymptotic behavior at infinity of solutions of a class of fully nonlinear elliptic equations F (D2u) = f (x) over exterior domains, where the Hessian matrix (D2u) tends to some symmetric positive definite matrix at ...
Xiaobiao Jia
semanticscholar +1 more source
Multiplicity of concentrating solutions for a class of magnetic Schrödinger-Poisson type equation
Advances in Nonlinear Analysis, 2020 In this paper, we study the following nonlinear magnetic Schrödinger-Poisson type ...
Liu Yueli, Li Xu, Ji Chao
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A complete study of the lack of compactness and existence results of a fractional Nirenberg equation via a flatness hypothesis, I [PDF]
, 2014 In this paper, we consider a nonlinear critical problem involving the fractional Laplacian operator arising in conformal geometry, namely the prescribed -curvature problem on the standard n- sphere n ≥ 2.
W. Abdelhedi, H. Chtioui, H. Hajaiej
semanticscholar +1 more source
On a weighted elliptic equation of N-Kirchhoff type with double exponential growth
Demonstratio Mathematica, 2022 In this work, we study the weighted Kirchhoff problem −g∫Bσ(x)∣∇u∣Ndxdiv(σ(x)∣∇u∣N−2∇u)=f(x,u)inB,u>0inB,u=0on∂B,\left\{\begin{array}{ll}-g\left(\mathop{\displaystyle \int }\limits_{B}\sigma \left(x)| \nabla u\hspace{-0.25em}{| }^{N}{\rm{d}}x\right){\rm ...
Abid Imed, Baraket Sami, Jaidane Rached
doaj +1 more source