Nonlinear Liouville theorems for Grushin and Tricomi operators

By L. D’Ambrosio, Sandra Lucente. 2003

124 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/7021f6a86877884fd4bf9ebb3b805af1fc19afae

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In Applied Mathematics

In Computational Theory and Mathematics

Citations in the corpus

Nonlinear Liouville theorems for some critical problems on H-type groups (2004, background): “[4,5] (see also [3,6,15]), sub-critical ARTICLE IN PRESS”
Maximum principles and the method of moving planes for a class of degenerate elliptic linear operators (2010, background): “admits no solution if 1 < p ≤ Q/(Q− 2) (see [7]).”
A priori estimates, positivity results, and nonexistence theorems for quasilinear degenerate elliptic inequalities (2010, unknown): “See in particular [51,52,10,45,46, 5,58,20,16,11,15].”
Hardy-type inequalities related to degenerate elliptic differential operators (2006, background): “The function [[·]] is related to the fundamental solution at the origin of Grushin operator L (see [20]).”
Hardy inequalities related to Grushin type operators (2003, background): “, ωk−1), introduced in [6] and defined by”
A new phenomenon in the critical exponent for structurally damped semi-linear evolution equations (2017, background): “2 in [16], an operator The modification consists into consider the Cauchy problem for Lu = | u | p , instead of the Lioville problem for Lu ≥ | u | p (see [47]).”
Nonexistence of solutions to parabolic differential inequalities with a potential on Riemannian manifolds (2015, unknown): “, [2], [19], [18], [21], [22], [3]) and on Riemannian manifolds (see [11], [12], [14] [16], [17], [27], [28]).”
Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves (2019, methodology): “n be rewritten, with a suitable choice of function aα, in the following form: Lu := X |α| Dα z (aα(z,u)). This class of diﬀerential operators was studied by Mitidieri and Pohozaev [26] and D’Ambrosio [16]. Let Ω ⊂ RN be a bounded domain with smooth boundary. Assume that N = n + m. We now introduce t”