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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… Click to show full 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 a priori estimates, maximum principles, monotonicity, as well as nonexistence of the nontrivial solutions.
Keywords:
radial solutions;
solutions nonlinear;
type inequalities;
opial type;
nonlinear elliptic
Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2020
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Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2020
Link to full text (if available)
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recommendations!