A new variable exponent Picone identity and applictions
نویسندگان
چکیده
منابع مشابه
Picone-type Identity for Pseudo P-laplacian with Variable Power
A Picone type identity is established for homogeneous differential operators involving the pseudo p-Laplacian with variable exponent p = p(x). Using this identity, it is shown that the classical Sturmian theory extends to the associated partial differential equations.
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Recently, an identity of the Picone type for the weighted p-biharmonic operator was established by the present author [5] and employed in proving comparison theorems and other qualitative results for a pair of fourth-order elliptic partial differential equations of the form ∆ ( a(x)|∆u|p−2∆u ) − c(x)|u|p−2u = 0, (1.1) and ∆ ( A(x)|∆v|p−2∆v ) − C(x)|v|p−2v = 0, (1.2) where p > 1, a,A ∈ C(Ḡ,R+), ...
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ژورنال
عنوان ژورنال: Mathematical Inequalities & Applications
سال: 2019
ISSN: 1331-4343
DOI: 10.7153/mia-2019-22-05