On nonnegative radial entire solutions of second order quasilinear elliptic systems
Electronic Journal of Qualitative Theory of Differential Equations, 2002 In this article we consider the second order quasilinear elliptic system of the form $$\Delta_{p_i} u_i=H_i(|x|)u_{i+1}^{\alpha_i}, x\in \mathbb{R}^N, i=1,2,...,m$$ with nonnegative continuous function $H_i$.
T. Teramoto
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Journal of Function Spaces, 2021 The existence of three solutions for nonlinear operator equations is established via index theory for linear self-adjoint operator equations, critical point reduction method, and three critical points theorems obtained by Brezis-Nirenberg, Ricceri, and ...
Mingliang Song, Shuyuan Mei
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Slate: extending Firedrake's domain-specific abstraction to hybridized solvers for geoscience and beyond [PDF]
Geoscientific Model Development, 2020 Within the finite element community, discontinuous Galerkin (DG) and mixed finite element methods have become increasingly popular in simulating geophysical flows.
T. H. Gibson +3 more
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NONTRIVIAL RADIAL SOLUTIONS FOR A SYSTEM OF SECOND ORDER ELLIPTIC EQUATIONS
Journal of Applied Analysis & Computation, 2022 Summary: In this paper we use the topological degree and the Krein-Rutman theorem to investigate the existence of nontrivial radial solutions for a system of second order elliptic equations. Our results are obtained under some conditions involving the eigenvalues of a relevant linear operator.
Zhang, Haiyan, Xu, Jiafa, O'Regan, Donal
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On energy functionals for second order elliptic systems with constant coefficients
Ufa Mathematical Journal, 2022 12 ...
Astamur Olegovich Bagapsh +1 more
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Nonzero Positive Solutions of Elliptic Systems with Gradient Dependence and Functional BCs
Advanced Nonlinear Studies, 2020 We discuss, by topological methods, the solvability of systems of second-order elliptic differential equations subject to functional boundary conditions under the presence of gradient terms in the nonlinearities.
Biagi Stefano +2 more
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On Boundary Value Problems for Elliptic Systems of Second-Order Equations in Divergence Form [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2015 Solvability conditions of various boundary value problems for elliptic systems of second-order equations in divergence form are adduced. The effect of domain shape on the solvability of nonclassical problems of rigid contact and normal load is ...
M.M. Karchevsky, R.R. Shagidullin
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Boundary regularity for elliptic systems under a natural growth condition [PDF]
, 2010 We consider weak solutions $u \in u_0 + W^{1,2}_0(\Omega,R^N) \cap L^{\infty}(\Omega,R^N)$ of second order nonlinear elliptic systems of the type $- div a (\cdot, u, Du) = b(\cdot,u,Du)$ in $\Omega$ with an inhomogeneity satisfying a natural growth ...
Beck, Lisa
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The Kato Square Root Problem for Mixed Boundary Conditions [PDF]
, 2013 We consider the negative Laplacian subject to mixed boundary conditions on a bounded domain. We prove under very general geometric assumptions that slightly above the critical exponent $\frac{1}{2}$ its fractional power domains still coincide with ...
Egert, Moritz +2 more
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A finite difference method for nonlinear parabolic-elliptic systems of second order partial differential equations [PDF]
Opuscula Mathematica, 2007 This paper deals with a finite difference method for a wide class of weakly coupled nonlinear second-order partial differential systems with initial condition and weakly coupled nonlinear implicit boundary conditions.
Marian Malec, Lucjan Sapa
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