Results 31 to 40 of about 71 (71)
Qualitative properties of two-end solutions to the Allen–Cahn equation in R3 ${\mathbb{R}}^{3}$
Advanced Nonlinear StudiesA solution of the Allen–Cahn equation in R3 ${\mathbb{R}}^{3}$ is called a two-end solution if its nodal set is asymptotic to (x′,z)∈R3:z=kiln|x′|+ci,1≤i≤2 $\left\{\left({x}^{\prime },z\right)\in {\mathbb{R}}^{3}:z={k}_{i}\mathrm{ln}\vert {x}^{\prime }\
Liang Weizhao, Yang Jianmin
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The Gelfand problem for the 1-homogeneous p-Laplacian
Advances in Nonlinear Analysis, 2017 In this paper, we study the existence of viscosity solutions to the Gelfand problem for the 1-homogeneous p-Laplacian in a bounded domain Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}}, that is, we deal ...
Carmona Tapia José +2 more
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Veterinary Dermatology, Volume 36, Issue 1, Page 74-82, February 2025.Background — Anal sac impaction is common in dogs and manual expression may be effective, yet recurrence remains a problem. To facilitate physiological emptying of the sacs, it is important to maintain a bulky stool consistency. Objectives — The study evaluated if supplementation with ProGlan, a complementary feed containing Bacillus velezensis C‐3102 ...
Marta Salichs +2 more
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Strong Maximum Principle for Some Quasilinear Dirichlet Problems Having Natural Growth Terms
Advanced Nonlinear Studies, 2020 In this paper, dedicated to Laurent Veron, we prove that the Strong Maximum Principle holds for solutions of some quasilinear elliptic equations having lower order terms with quadratic growth with respect to the gradient of the solution.
Boccardo Lucio, Orsina Luigi
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Advanced Nonlinear StudiesIn this paper we study the following nonlinear fractional Hartree (or Choquard-Pekar) equation (−Δ)su+μu=(Iα*F(u))F′(u) inRN, ${\left(-{\Delta}\right)}^{s}u+\mu u=\left({I}_{\alpha }{\ast}F\left(u\right)\right){F}^{\prime }\left(u\right)\quad \text{in} {\
Cingolani Silvia +2 more
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Advanced Nonlinear Studies, 2020 The aim of this paper is analyzing the positive solutions of the quasilinear ...
López-Gómez Julián, Omari Pierpaolo
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Beyond the classical strong maximum principle: Sign-changing forcing term and flat solutions
Advances in Nonlinear AnalysisWe show that the classical strong maximum principle, concerning positive supersolutions of linear elliptic equations vanishing on the boundary of the domain can be extended, under suitable conditions, to the case in which the forcing term is sign ...
Díaz Jesús Ildefonso +1 more
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Advances in Nonlinear Analysis, 2014 We address the regularity of solutions to elliptic and parabolic equations of the form -Δu+b·∇u=0${- \Delta u+b\cdot \nabla u=0}$ and ut-Δu+b·∇u=0${u_t- \Delta u+b\cdot \nabla u=0}$ with divergence-free drifts b.
Ignatova Mihaela
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On subsolutions and concavity for fully nonlinear elliptic equations
Advanced Nonlinear StudiesSubsolutions and concavity play critical roles in classical solvability, especially a priori estimates, of fully nonlinear elliptic equations. Our first primary goal in this paper is to explore the possibility to weaken the concavity condition.
Guan Bo
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Nonexistence of positive radial solutions for a problem with singular potential
Advances in Nonlinear Analysis, 2014 This article completes the picture in the study of positive radial solutions in the function space 𝒟1,2(ℝN)∩L2(ℝN,|x|-αdx)∩Lp(ℝN)${{\mathcal {D}^{1,2}({\mathbb {R}^N}) \cap L^2({{\mathbb {R}^N}, | x |^{-\alpha } dx})\cap L^p({\mathbb {R}^N})}}$ for the ...
Catrina Florin
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