Results 11 to 20 of about 2,552 (102)
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
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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
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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
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Quantum cosmological Friedman models with a Yang-Mills field and positive energy levels [PDF]
, 2010 We prove the existence of a spectral resolution of the Wheeler-DeWitt equation when the matter field is provided by a Yang-Mills field, with or without mass term, if the spatial geometry of the underlying spacetime is homothetic to $\R[3]$.
Claus Gerhardt +3 more
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Journal of Function Spaces, Volume 9, Issue 1, Page 17-40, 2011., 2011 We prove a homogenization result for monotone operators by using the method of multiscale convergence. More precisely, we study the asymptotic behavior as ε → 0 of the solutions uε of the nonlinear equation divaε(x, ∇uε) = divbε, where both aε and bε oscillate rapidly on several microscopic scales and aε satisfies certain continuity, monotonicity and
Andreas Almqvist +4 more
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Existence results for a fourth order partial differential equation arising in condensed matter physics [PDF]
, 2015 We study a higher order parabolic partial differential equation that arises in the context of condensed matter physics. It is a fourth order semilinear equation whose nonlinearity is the determinant of the Hessian matrix of the solution. We consider this
Escudero, Carlos +4 more
core +2 more sources
[Retracted] Nonlinear eigenvalue problems in Sobolev spaces with variable exponent
Journal of Function Spaces, Volume 4, Issue 3, Page 225-242, 2006., 2006 We study the boundary value problem −div?((|?u|p1(x)−2 + |?u|p2(x)−2)?u) = f(x, u) in O, u = 0 on ?O, where O is a smooth bounded domain in RN. We focus on the cases when f±(x, ??u) = ±(−?|u|m(x)−2u + |u|q(x)−2u), where m(x)?max??{p12(x),p(x)}
Teodora-Liliana Dinu, George Isac
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On the location of two blow up points on an annulus for the mean field equation [PDF]
, 2014 We consider the mean field equation on two-dimensional annular domains, and prove that if $P$ and $Q$ are two blow up points of a blowing-up solution sequence of the equation, then we must have $P=-Q$.Comment: To appear in ...
Grossi, M., Takahashi, F.
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Multiple solutions to a nonlinear elliptic equation involving Paneitz type operators
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 46, Page 2453-2472, 2004., 2004 This paper deals with an elliptic equation involving Paneitz type operators on compact Riemannian manifolds with concave‐convex nonlinearities and a real parameter. Nonlocal and multiple existence results are established. Characteristic values of the real parameter are introduced and their role in the change of the energy sign and the existence of ...
Abdallah El Hamidi
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On the economical solution method for a system of linear algebraic equations
Mathematical Problems in Engineering, Volume 2004, Issue 4, Page 377-410, 2004., 2004 The present work proposes a novel optimal and exact method of solving large systems of linear algebraic equations. In the approach under consideration, the solution of a system of algebraic linear equations is found as a point of intersection of hyperplanes, which needs a minimal amount of computer operating storage. Two examples are given.
Jan Awrejcewicz +2 more
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