A Liouville comparison principle for solutions of quasilinear singular parabolic inequalities
Advances in Nonlinear Analysis, 2015 We obtain a Liouville comparison principle for entire weak solutions (u,v) of quasilinear singular parabolic second-order partial differential inequalities of the form ut-A(u)-|u|q-1u≥vt-A(v)-|v|q-1v${ u_t - A(u)-|u|^{q-1}u \ge v_t - A (v)-|v|^{q-1}v ...
Kurta Vasilii V.
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Strong Comparison Principle for the Fractional p-Laplacian and Applications to Starshaped Rings
Advanced Nonlinear Studies, 2018 In the following, we show the strong comparison principle for the fractional p-Laplacian, i.e.
Jarohs Sven
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Existence results for some anisotropic possible singular problems via the sub-supersolution method [PDF]
Using the sub-super solution method, we prove the existence of the solutions for the following anisotropic problem with singularity, where Ω⊂RN is a bounded domain with smooth boundary and a given singular nonlinearity f : Ω×(0,∞)⟶[0,∞) f : Ω×(0,∞)⟶[0,∞).
FOUAD, Kissi +2 more
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A Picone identity for variable exponent operators and applications
Advances in Nonlinear Analysis, 2019 In this work, we establish a new Picone identity for anisotropic quasilinear operators, such as the p(x)-Laplacian defined as div(|∇ u|p(x)−2 ∇ u).
Arora Rakesh +2 more
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Quasi-convex Hamilton-Jacobi equations posed on junctions: The multi-dimensional case
, 2017 28 pages. Second versionInternational audienceA multi-dimensional junction is obtained by identifying the boundaries of a finite number of copies of an Euclidian half-space.
Imbert, Cyril, Monneau, R
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Global Dynamics of Generalized Logistic Equations
Advanced Nonlinear Studies, 2018 We consider a parameter dependent parabolic logistic population model with diffusion and degenerate logistic term allowing for refuges for the population.
Daners Daniel, López-Gómez Julián
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Quasilinear elliptic equations with critical potentials
Advances in Nonlinear Analysis, 2017 We study Liouville theorems for problems of the ...
D’Ambrosio Lorenzo, Mitidieri Enzo
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Uniqueness and comparison principles for semilinear equations and inequalities in Carnot groups
Advances in Nonlinear Analysis, 2018 Variants of the Kato inequality are proved for distributional solutions of semilinear equations and inequalities on Carnot groups. Various applications to uniqueness, comparison of solutions and Liouville theorems are presented.
D’Ambrosio Lorenzo, Mitidieri Enzo
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On positive weak solutions for a class of weighted (p(.), q(.))−Laplacian systems
Moroccan Journal of Pure and Applied Analysis, 2019 In this paper, we study the existence of positive weak solutions for a quasilinear elliptic system involving weighted (p(.), q(.))−Laplacian operators. The approach is based on sub-supersolutions method and on Schauder’s fixed point theorem.
Azroul Elhoussine +2 more
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EXTREME VALUES OF THE FIEDLER VECTOR ON TREES. [PDF]
Linear Algebra ApplLederman RR, Steinerberger S.
europepmc +1 more source