On maximum principles for solutions to nonlinear elliptic ODEs and radial solutions to nonlinear elliptic PDE's via Opial‐type inequalities
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DOI: 10.1002/mma.7055
Abstract: We consider degenerated nonlinear PDE of elliptic type: −div(a(|x|)|∇w(x)|p−2∇w(x))+h|x|,w(x),∇w(x),x|x|=ϕ(w(x)), a.e. in the ball in ℝn . Using the argument based on Opial‐type inequalities, we investigate qualitative properties of their radial solutions, like, for example, the… read more here.
Keywords: radial solutions; solutions nonlinear; type inequalities; opial type ... See more keywords
Opial-type inequalities for convex functions and associated results in fractional calculus
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DOI: 10.1186/s13662-019-2089-1
Abstract: This paper is dedicated to Opial-type inequalities for arbitrary kernels using convex functions. These inequalities are further applied to a power function. Applications of the presented results are studied in fractional calculus via fractional integral… read more here.
Keywords: fractional calculus; type inequalities; inequalities convex; opial type ... See more keywords
On Opial’s Type Integral Inequalities
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DOI: 10.3390/math7040375
Abstract: In the article we establish some new Opial’s type inequalities involving higher order partial derivatives. These new inequalities, in special cases, yield Agarwal-Pang’s, Pachpatte’s and Das’s type inequalities. read more here.
Keywords: integral inequalities; opial type; type integral;