Quasilinear and singular elliptic systems [PDF]
Advances in Nonlinear Analysis, 2013 In this paper, we investigate a general quasilinear elliptic and singular system. By monotonicity methods, we give some existence and uniqueness results.
Giacomoni, Jacques +2 more
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Borderline Global Regularity for Nonuniformly Elliptic Systems [PDF]
International mathematics research notices, 2022 We establish sharp global regularity results for solutions to nonhomogeneous, nonuniformly elliptic systems with zero boundary conditions imposed only on some part of the boundary of convex domains.
C. Filippis, Mirco Piccinini
semanticscholar +1 more source
A pointwise differential inequality and second-order regularity for nonlinear elliptic systems [PDF]
Mathematische Annalen, 2021 A sharp pointwise differential inequality for vectorial second-order partial differential operators, with Uhlenbeck structure, is offered. As a consequence, optimal second-order regularity properties of solutions to nonlinear elliptic systems in domains ...
A. Balci +3 more
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Multidimensional analogs of A. Bicardze system
Lietuvos Matematikos Rinkinys, 2001 The problem of classification of elliptic partial differential systems is studied. Two classes of multidimensional elliptic systems are defined, that are to be considered multidimensional analogs of strongly connected and weekly connected elliptic ...
Eugenijus Paliokas
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Global bifurcation of positive solutions for a class of superlinear elliptic systems
Electronic Journal of Qualitative Theory of Differential Equations, 2023 We are concerned with the global bifurcation of positive solutions for semilinear elliptic systems of the form \begin{equation*} \begin{cases} -\Delta u=\lambda f(u,v) &\text{in}~\Omega,\\ -\Delta v=\lambda g(u,v) &\text{in}~\Omega,\\
Ruyun Ma, Yan Zhu, Yali Zhang
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Gradient Estimates for Divergence Form Elliptic Systems Arising from Composite Material [PDF]
SIAM Journal on Mathematical Analysis, 2019 In this paper, we show that $W^{1,p}$ $(1\leq ...
Hongjie Dong, Longjuan Xu
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Saddle-shaped positive solutions for elliptic systems with bistable nonlinearity
Mathematics in Engineering, 2020 In this paper we prove the existence of infinitely many saddle-shaped positive solutions for non-cooperative nonlinear elliptic systems with bistable nonlinearities in the phase-separation regime.
Nicola Soave
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Riemann–Hilbert boundary value problem for multidimensional elliptic systems of equations
Lietuvos Matematikos Rinkinys, 2023 Multidimensional analogues of Cauchy–Riemann quations and of Riemann–Hilbert boundary value problem are studied. Their relation to the scalar boundary value problem is demonstrated.
Eugenijus Paliokas
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Communication Aspects for a Measurement Based UWB in-Body to on-Body Channel
IEEE Access, 2019 A wireless capsule endoscopy (WCE) is a good option for the screening of the digestive system. To better facilitate detection of diseases at an early stage, gastroenterologists seek both higher frame rate and frame resolution than what is offered in the ...
Pal Anders Floor +5 more
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A Priori Bounds And Existence Of Positive Solutions For Semilinear Elliptic Systems [PDF]
, 2017 We provide a-priori L∞ bounds for classical positive solutions of semilinear elliptic systems in bounded convex domains when the nonlinearities are below the power functions v^p and u^q for any (p,q) lying on the critical Sobolev hyperbola.
Mavinga, Nsoki, Pardo, R.
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