Results 71 to 80 of about 453,228 (135)
Electronic Journal of Differential Equations, 2016 We establish Liouville-type theorems for the elliptic inequality $$ u\geq 0,\quad G_{\alpha,\beta,\theta}\big(u^{p(x,y)},u^{q(x,y)}\big) \geq u^{r(x,y)}, \quad (x,y)\in \mathbb{R}^{N_1}\times \mathbb{R}^{N_2}, $$ where $G_{\alpha,\beta,\theta ...
Mohamed Jleli +2 more
doaj
For N ≥ 3 we study the following semipositone problem (Formula Presented) where ∆γ is the Grushin operator (Formula Presented) is a positive function, a > 0 is a parameter and fa is a continuous function on R that coincides with f(t) − a for t ∈ R ...
Malanchini, Paolo +2 more
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NONEXISTENCE RESULT FOR QUASILINEAR ELLIPTIC INEQUALITIES INVOLVING THE GRUSHIN OPERATOR [PDF]
In this paper, we establish a nonexistence result of positive solutions of the inequality \( -{\rm div}_G \left( |\nabla_G u|^{p-2} \nabla_G u \right) \geq u^q \quad {\rm in} \; \mathbb{R}^N = \mathbb{R}^{N_1} \times \mathbb{R}^{N_2}, \) where ...
Le Thi Lieu, Tran Thi Minh Nguyet
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HARDY INEQUALITIES FOR LANDAU HAMILTONIAN AND FOR BAOUENDI-GRUSHIN OPERATOR WITH AHARONOV-BOHM TYPE MAGNETIC FIELD. PART I [PDF]
, 2018 In this paper we prove the Hardy inequalities for the quadratic form of the Laplacian with the Landau Hamiltonian magnetic field. Moreover, we obtain Poincar\'e type inequality and inequalities with more general families of weights, all with estimates ...
Laptev, Ari +2 more
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A transform for the Grushin operator with applications
Journal of Differential Equations19 ...
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Electronic Journal of Differential Equations, 2017 We study the nonexistence of nontrivial solutions for the nonlinear elliptic system $$\displaylines{ G_{\alpha,\beta,\theta}(u^{p},u^{q}) = v^{r}\cr G_{\lambda,\mu,\theta}(v^{s},v^{t}) = u^{m}\cr u,v\geq 0, }$$ where $0q\geq p\geq 1$, $r>t\geq s\
Mohamed Jleli, Bessem Samet
doaj
Global existence and blow-up of solutions to porous medium equation for Baouendi-Grushin operator [PDF]
In this note, we show a global existence and blow-up of the positive solutions to the initial-boundary value problem of the nonlinear porous medium equation related to Baouendi-Grushin operator.
Dukenbayeva, Aishabibi
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An action function for a higher step Grushin operator
Journal of Geometry and Physics, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Furutani, Kenro +2 more
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Unique continuation of positive solutions for doubly degenerate quasilinear elliptic equations
Electronic Journal of Differential Equations, 2017 We consider quasilinear elliptic equations that are degenerate in two ways. One kind of degeneracy is due to the particular structure of the given vector fields.
Giuseppe Di Fazio +2 more
doaj
Almost-Riemannian manifolds do not satisfy the curvature-dimension condition. [PDF]
Calc Var Partial Differ Equ, 2023 Magnabosco M, Rossi T.
europepmc +1 more source