Minimal positive solutions for systems of semilinear elliptic equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2017 The paper is devoted to a system of nonlinear PDEs containing gradient terms. Applying the approach based on Sattinger's iteration procedure we use sub and supersolutions methods to prove the existence of positive solutions with minimal growth.
Aleksandra Orpel
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Existence and multiplicity of positive solutions for classes of singular elliptic PDEs [PDF]
Journal of Mathematical Analysis and Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chhetri, Maya, Robinson, Stephen B.
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Existence of weak positive solutions to a nonlinear PDE system around a triple phase boundary, coupling domain and boundary variables [PDF]
Journal of Mathematical Analysis and Applications, 2011 The authors show the existence of a positive, bounded weak solution for a system of partial differential equations having a physical origin. The specific character of this system is the coupling of a variable satisfying a partial differential equation in the domain with a variable satisfying a differential equation on the boundary.
Al-arydah, Moʼtassem, Novruzi, Arian
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Symmetry And Monotonicity Properties For Positive Solutions Of Semi-Linear Elliptic PDE'S [PDF]
Communications in Partial Differential Equations, 2000 (2000). Symmetry And Monotonicity Properties For Positive Solutions Of Semi-Linear Elliptic PDE'S. Communications in Partial Differential Equations: Vol. 25, No. 5-6, pp. 1153-1169.
Dolbeault, Jean, Felmer, Patricio
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A PIE Representation of Coupled Linear 2D PDEs and Stability Analysis using LPIs [PDF]
, 2022 We introduce a Partial Integral Equation (PIE) representation of Partial Differential Equations (PDEs) in two spatial variables. PIEs are an algebraic state-space representation of infinite-dimensional systems and have been used to model 1D PDEs and time-
Peet, Matthew M., Jagt, Declan S.
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Positive Solutions to Semilinear Elliptic Equations with Logistic-Type Nonlinearities and Harvesting in Exterior Domains [PDF]
, 2022 Existing results provide the existence of positive solutions to a class of semilinear elliptic PDEs with logistic-type nonlinearities and harvesting terms both in RN and in bounded domains U ⊂ RN with N ≥ 3, when the carrying capacity of the environment ...
Jameson, Eric
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Heliyon, 2020 A mathematical analysis is performed to study the flow and heat transfer phenomena of Casson based nanofluid with effects of the porosity parameter and viscous dissipation over the exponentially permeable stretching and shrinking surface.
Sumera Dero +2 more
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Integrable viscous conservation laws [PDF]
, 2015 We propose an extension of the Dubrovin-Zhang perturbative approach to the study of normal forms for non-Hamiltonian integrable scalar conservation laws. The explicit computation of the first few corrections leads to the conjecture that such normal forms
Moro, Antonio +2 more
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$L_2$-Gain Analysis of Coupled Linear 2D PDEs using Linear PI Inequalities [PDF]
, 2022 In this paper, we present a new method for estimating the $L_2$-gain of systems governed by 2nd order linear Partial Differential Equations (PDEs) in two spatial variables, using semidefinite programming.
Peet, Matthew M., Jagt, Declan S.
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New evolution PDEs with many isochronous solutions [PDF]
, 2009 Certain nonlinear evolution PDEs in 1+1 variables (time and space) are identified, featuring a positive parameter to and evolving, for a large class of initial data, periodically with the fixed period T = 27 pi/omega (or perhaps (T) over tilde = pT with ...
N. Euler +8 more
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