Results 81 to 90 of about 8,945 (319)
Optimized Schwarz methods for Maxwell's equations
, 2009 Over the last two decades, classical Schwarz methods have been extended to systems of hyperbolic partial differential equations, using characteristic transmission conditions, and it has been observed that the classical Schwarz method can be convergent ...
Dolean Maini, Victorita +6 more
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An oscillation theorem for the nonlinear degenerate elliptic equation in the Heisenberg group
Boundary Value Problems, 2021 The aim of this paper is to study the oscillation of solutions of the nonlinear degenerate elliptic equation in the Heisenberg group H n $H^{n}$ . We first derive a critical inequality in H n $H^{n}$ . Based on it, we establish a Picone-type differential
Duan Wu, Pengcheng Niu
doaj +1 more source
Advanced Science, EarlyView.Nuclear mechanical properties are inherently scale‐dependent, arising from a hierarchical architecture that spans DNA, chromatin, the nuclear envelope, and condensates. Experimental techniques and theoretical models are integrated into a cohesive multiscale framework linking nanoscale structural features to organelle‐level mechanical behavior.
Xinran Liu +15 more
wiley +1 more source
NONLINEAR ELLIPTIC EQUATIONS WITH SINGULAR REACTION
Osaka Journal of Mathematics, 2016 We study a nonlinear elliptic equation with a singular term and a continuous perturbation. We look for positive solutions. We prove three multiplicity theorems producing at least two positive solutions. The first multiplicity theorem concerns equations driven by a nonhomogeneous in general differential operator.
Papageorgiou, Nikolaos S +1 more
openaire +3 more sources
Nonlinear elliptic equations with lower-order terms
Differential and Integral Equations, 2001 We prove regularity results for solutions of nonlinear elliptic equations containing a term which grows as $ |u|^\sigma$, $ \sigma>0$, and satisfies a "sign condition." The source term is supposed to be in $ L^1$.
ALVINO, ANGELO +2 more
openaire +4 more sources
Regularity results for nonlocal fully nonlinear elliptic equations
, 2013 Rang M. Regularity results for nonlocal fully nonlinear elliptic equations. Bielefeld: Universitätsbibliothek; 2013.In this thesis we consider nonlocal fully nonlinear elliptic operators derived from a certain class of linear integro-differential ...
Rang, Marcus
core
Bifurcation of Fredholm maps II; The dimension of the set of bifurcation points [PDF]
, 2011 We obtain an estimate for the covering dimension of the set of bifurcation points for solutions of nonlinear elliptic boundary value problems from the principal symbol of the linearization along the trivial branch of ...
Pejsachowicz, Jacobo
core
survey on boundary regularity for the fractional p-Laplacian and its applications
Bruno Pini Mathematical Analysis SeminarWe survey some recent regularity results for fractional p-Laplacian elliptic equations, especially focusing on pure and weighted boundary Hölder continuity of the solutions of related Dirichlet problems. Then, we present some applications of such results
Antonio Iannizzotto
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Advanced Science, EarlyView.Supramolecular hydrogels enable real‐time visualization of mechanical stress through supramolecular switching mechanotransduction. Adamantane‐modified cellulose functions as a responsive domain that undergoes an on–off transition between hydrated and dehydrated states via reversible β‐cyclodextrin–adamantane complexation and decomplexation.
Sooyeon Noh +7 more
wiley +1 more source
A singularly perturbed semilinear reaction-diffusion problem in a polygonal domain
, 2009 The semilinear reaction-di®usion equation ¡"24u+b(x; u) = 0 with Dirichlet bound-ary conditions is considered in a convex polygonal domain. The singular perturbation parameter ε is arbitrarily small, and the “reduced equation” b(x, u0 (x)) = 0 may have ...
Kellogg, R. Bruce +3 more
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