The studies developed within this article will be focused on achiev- ing results related to the existence and qualitative properties of en- tire radially symmetric solutions for a Schrodinger problem of type $Delta_pu_i +h_i(r) | nabla u_i mid^{p-1} = a_i (r) f_i (u_i + 1)$ for $i = overline {1,d-1}$ and $Delta_p u_d + h_d (r) mid nabla u_d mid^{p-1} = a_d(r)f_d(u_1)$ on $Bbb{R}^N$, where p > 1, d ≥ 2, $h_i$ and $a_i$ are nonnegative radial continuous functions and $f_i$ are nonnegative increasing continuous functions on $[0,infty)$.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:The studies developed within this article will be focused on achiev- ing results related to the existence and qualitative properties of en- tire radially symmetric solutions for a Schrodinger problem of type $Delta_pu_i +h_i(r) | nabla u_i mid^{p-1} = a_i (r) f_i (u_i + 1)$ for $i = overline {1,d-1}$ and $Delta_p u_d + h_d (r) mid nabla u_d mid^{p-1} = a_d(r)f_d(u_1)$ on $Bbb{R}^N$, where p > 1, d ≥ 2, $h_i$ and $a_i$ are nonnegative radial continuous functions and $f_i$ are nonnegative increasing continuous functions on $[0,infty)$.
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Temel Bulgular & Veri:The studies developed within this article will be focused on achiev- ing results related to the existence and qualitative properties of en- tire radially symmetric solutions for a Schrodinger problem of type $Delta_pu_i +h_i(r) | nabla u_i mid^{p-1} = a_i (r) f_i (u_i + 1)$ for $i = overline {1,d-1}$ and $Delta_p u_d + h_d (r) mid nabla u_d mid^{p-1} = a_d(r)f_d(u_1)$ on $Bbb{R}^N$, where p > 1, d ≥ 2, $h_i$ and $a_i$ are nonnegative radial continuous functions and $f_i$ are nonnegative increasing continuous functions on $[0,infty)$.
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Sonuç & Katkı:The studies developed within this article will be focused on achiev- ing results related to the existence and qualitative properties of en- tire radially symmetric solutions for a Schrodinger problem of type $Delta_pu_i +h_i(r) | nabla u_i mid^{p-1} = a_i (r) f_i (u_i + 1)$ for $i = overline {1,d-1}$ and $Delta_p u_d + h_d (r) mid nabla u_d mid^{p-1} = a_d(r)f_d(u_1)$ on $Bbb{R}^N$, where p > 1, d ≥ 2, $h_i$ and $a_i$ are nonnegative radial continuous functions and $f_i$ are nonnegative increasing continuous functions on $[0,infty)$.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri
Abstract
The studies developed within this article will be focused on achiev- ing results related to the existence and qualitative properties of en- tire radially symmetric solutions for a Schrodinger problem of type $Delta_pu_i +h_i(r) | nabla u_i mid^{p-1} = a_i (r) f_i (u_i + 1)$ for $i = overline {1,d-1}$ and $Delta_p u_d + h_d (r) mid nabla u_d mid^{p-1} = a_d(r)f_d(u_1)$ on $Bbb{R}^N$, where p > 1, d ≥ 2, $h_i$ and $a_i$ are nonnegative radial continuous functions and $f_i$ are nonnegative increasing continuous functions on $[0,infty)$.
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Bu Makaleye Atıf Yap
COVEİ, D. (2022). Existence of entire radically symmetric solutions for a quasilinear system with d-equations. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 3, 433–439. https://ajindex.com/articles/530587
Bandle, C. and Giarrusso, E. Boundary blowup for semilinear elliptic equations with nonlinear gradient terms, Advances in Differential Equations 1 (1), 133-150, 1996. [2]Covei, D. P. Large and entire large solution for a quasilinear problem, Nonlinear Analysis: Theory, Methods & Applications 70(4), 1738-1745, 2009. [3]Covei, D. P. Radial and nonradial solutions for a semilinear elliptic system of Schrödinger type, Funkcialaj Ekvacioj-Serio Iijternacia, accepted manuscript. [4]Li, H., Zhang, P. and Zhang, Z. A_ remark on the existence of entire positive solutions for a class of semilinear elliptic systems, Journal of Mathematical Analysis and Applications (2009), doi:10.1016/j.jmaa.2009 10.036. [5]Lair, A. V. and Wood, A. W. Existence of entire large positive solutions of semilinear elliptic systems, Journal of Differential Equations 164, 380-394, 2000. [6]Lair, A.V. A necessary and sufficient condition for the existence of large solutions to sublin-ear elliptic systems, Journal of Mathematical Analysis and Applications 365(1), 103-108, 2010. [7]Keller, J. B. On solution of ∇u = f(u), Communications on Pure and Applied Mathemat-ics10, 503-510, 1957. [8]Ossermaii, R. On the inequality ∇u ≥ f(u), Pacific Journal of Mathematics 7, 1641-1647, 1957. [9]Smith, D. N. Existence of large solutions to semilinear elliptic equations with multiple terms, Master's Thesis, Air Force Inst of Tech Wright-Patterson Afb OH School of Engineering and Management, 41 Pages, Sep 2006. [10]Teramoto, T. Existence and nonexistence of positive radial entire solutions of second order quasilinear elliptic systems, Hiroshima Math. J. 30, 437-461, 2000. [11]Toumi, F. Existence of blowup solutions for nonlinear problems with a gradient term, International Journal of Mathematics and Mathematical Sciences Volume 2006 (2006), Article ID 80605, 11 pages. [12]Yang, Z. Existence of entire explosive positive radial solutions for a class of quasilinear elliptic systems, Journal of Mathematical Analysis and Applications 288, 768-783, 2003. [13]Ye, D. and Zhou, F. Existence and nonexistence of entire large solutions for some semilinear elliptic equations, Journal of Partial Differential Equations Year 3, 253-262, 2008.