Generalized transition fronts for one-dimensional almost periodic Fisher-KPP equations [PDF]
, 2016 This paper investigates the existence of generalized transition fronts for Fisher-KPP equations in one-dimensional, almost periodic media. Assuming that the linearized elliptic operator near the unstable steady state admits an almost periodic ...
Nadin, Grégoire, Rossi, Luca
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A Refined Approach for Non-Negative Entire Solutions of Δ u + up = 0 with Subcritical Sobolev Growth
Advanced Nonlinear Studies, 2017 Let N≥2{N\geq 2} and ...
Villavert John
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Positive Solutions for Systems of Quasilinear Equations with Non-homogeneous Operators and Weights
Advanced Nonlinear Studies, 2020 In this paper we deal with positive radially symmetric solutions for a boundary value problem containing a strongly nonlinear operator. The proof of existence of positive solutions that we give uses the blow-up method as a main ingredient for the search ...
García-Huidobro Marta +2 more
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Front blocking and propagation in cylinders with varying cross section [PDF]
, 2015 In this paper we consider a bistable reaction-diffusion equation in unbounded domains and we investigate the existence of propagation phenomena, possibly partial, in some direction or, on the contrary, of blocking phenomena.
Berestycki, Henri +2 more
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Advances in Nonlinear Analysis, 2014 We obtain a new Liouville comparison principle for weak solutions (u,v) of semilinear parabolic second-order partial differential inequalities of the form ut-ℒu-|u|q-1u≥vt-ℒv-|v|q-1v(*)$u_t -{\mathcal {L}}u- |u|^{q-1}u\ge v_t -{\mathcal {L}}v- |v|^{q-1}v\
Kurta Vasilii V.
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On entire solutions for an indefinite quasilinear system of mixed power
, 2014 We prove non-existence and existence of entire positive solutions for a Schrodinger quasilinear elliptic system. To prove the non-existence, we combine a carefully-chosen test function with some results that we proved concerning the positivity of a kind ...
C. Santos, Mariana Reis
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Plane-like minimizers for a non-local Ginzburg-Landau-type energy in a periodic medium [PDF]
, 2017 We consider a non-local phase transition equation set in a periodic medium and we construct solutions whose interface stays in a slab of prescribed direction and universal width.
Cozzi, Matteo, Valdinoci, Enrico
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Radial Symmetry of Entire Solutions of a Biharmonic Equation with Supercritical Exponent
Advanced Nonlinear Studies, 2019 Necessary and sufficient conditions for a regular positive entire solution u of a biharmonic ...
Guo Zongming, Wei Long
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Existence of stable solutions to $(-\Delta)^m u=e^u$ in $\mathbb{R}^N$ with $m \geq 3$ and $N > 2m$
, 2015 We consider the polyharmonic equation $(-\Delta)^m u=e^u$ in $\mathbb{R}^N$ with $m \geq 3$ and $N > 2m$. We prove the existence of many entire stable solutions.
Huang, Xia, Ye, Dong
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Uniqueness and Liouville type results for radial solutions of some classes of k-Hessian equations [PDF]
, 2022 We establish a uniqueness theorem and a Liouville type result for positive radial solutions of some classes of nonlinear autonomous equation with the k-Hessian operator. We also give some interesting qualitative properties of solutions.
Chrouda Mohamed Ben
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