논문KCI 등재
Existence of the third positive radial solution of a semilinear elliptic problem on an unbounded domain
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Abstract
We prove the multiplicity of ordered positive radialsolutions for a semilinear elliptic problem defined on an exteriordomain. The key argument is to prove the existence of the thirdsolution in presence of two known solutions. For this, we obtainsome partial results related to three solutions theorem forcertain singular boundary value problems. Proof are mainly basedon the upper and lower solutions method and degree theory.
관련 논문AI추천
On positive solutions for a class of Indefinite weight semilinear elliptic boundary value problems with critical Sobolev exponent강승필, 고봉수대한수학회 · 대한수학회지2007 · 제44권 제2호Multiple Existence of Positive Global Solutions for Parameterized Nonhomogeneous Elliptic Equations Involving Critical Exponents김완세영남수학회 · East Asian Mathematical Journal2014 · 제30권 제3호Multiple existence of solutions for a nonhomogeneous ellpitic problems on $R^N$김완세, Norimichi Hirano영남수학회 · East Asian Mathematical Journal2018 · 제34권 제5호Nodal solutions for an elliptic equation in an annulus without the signum conditionRuyun Ma, Tianlan Chen, Yanqiong Lu대한수학회 · 대한수학회보2020 · 제57권 제2호A Nonlinear Elliptic Equation of Emden Fowler Type with Convection TermArij Bouzelmate, Hikmat El Baghouri, Mohamed El Hathout경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2024 · 제64권 제1호Multiplicity of Positive Solutions to Schr\"odinger-type Positone Problems고은경영남수학회 · East Asian Mathematical Journal2022 · 제38권 제1호
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