Lane-Emden equations perturbed by nonhomogeneous potential in the super critical case
نویسندگان
چکیده
منابع مشابه
Separable solutions of quasilinear Lane-Emden equations
For 0 < p − 1 < q and either ǫ = 1 or ǫ = −1, we prove the existence of solutions of −∆pu = ǫu q in a cone CS , with vertex 0 and opening S, vanishing on ∂CS , under the form u(x) = |x|ω( x |x|). The problem reduces to a quasilinear elliptic equation on S and existence is based upon degree theory and homotopy methods. We also obtain a non-existence result in some critical case by an integral ty...
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In this paper, modication of the optimal homotopy asymptotic method (MOHAM) is appliedupon singular initial value Lane-Emden type equations and results are compared with the available exactsolutions. The modied algorithm give the exact solution for dierential equations by using one iterationonly.
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The existence problem is solved, and global pointwise estimates of solutions are obtained for quasilinear and Hessian equations of Lane–Emden type, including the following two model problems: −∆pu = u + μ, Fk[−u] = u + μ, u ≥ 0, on R, or on a bounded domain Ω ⊂ R. Here ∆p is the pLaplacian defined by ∆pu = div (∇u|∇u|p−2), and Fk[u] is the k-Hessian defined as the sum of k× k principal minors o...
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ژورنال
عنوان ژورنال: Advances in Nonlinear Analysis
سال: 2021
ISSN: 2191-950X,2191-9496
DOI: 10.1515/anona-2020-0129