Results 11 to 20 of about 232 (187)
Advances in Nonlinear Analysis, 2018 We study the semilinear elliptic ...
Ghergu Marius +2 more
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Advanced Nonlinear Studies, 2023 In our previous paper [K. Ishige, S. Okabe, and T. Sato, A supercritical scalar field equation with a forcing term, J. Math. Pures Appl. 128 (2019), pp.
Ishige Kazuhiro +2 more
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Advances in Nonlinear Analysis, 2021 In this paper, we consider a class of semilinear elliptic equation with critical exponent and -1 growth. By using the critical point theory for nonsmooth functionals, two positive solutions are obtained. Moreover, the symmetry and monotonicity properties
Lei Chun-Yu, Liao Jia-Feng
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Semilinear elliptic equations and supercritical growth
Journal of Differential Equations, 1987 \textit{H. Brezis} and \textit{L. Nirenberg} have proved the existence of positive solutions of the problem \(\Delta \tilde u+\lambda \tilde u+\tilde u^ p=0\) in \(\Omega\) and \(\tilde u=0\) on \(\partial \Omega\) for \(p\leq p_ c=(n+2)/(n-2)\), when the embedding of \(H^ 1_ 0(\Omega)\) in \(L^{p+1}(\Omega)\) is continuous [Commun. Pure Appl. Math. 36,
Budd, C, Norbury, J
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Remarks on a semilinear elliptic equation on Rn [PDF]
Journal of Differential Equations, 1988 On etudie l'equation elliptique semi-lineaire Δu−u+Q|u| P−1 u=0 dans R n , u≥0, u¬=0 dans R n et u→0 a l'infini avec p telle que ...
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On the existence of a positive solution for a semilinear elliptic equation in the upper half space
Abstract and Applied Analysis, 2002 We show the existence of a nontrivial solution to the semilinear elliptic equation −Δu+u=b(x)|u|p−2u, u>0, u∈H01(ℝ+N) under some suitable conditions.
Chen Shaowei, Li Yongqing
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On the Cauchy problem for a semilinear fractional elliptic equation [PDF]
Applied Mathematics Letters, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nguyen Huy Tuan +3 more
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On some properties of a system of nonlinear partial functional differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We consider a system of a semilinear hyperbolic functional differential equation (where the lower order terms contain functional dependence on the unknown function) with initial and boundary conditions and a quasilinear elliptic functional differential ...
László Simon
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Semilinear elliptic equations and fixed points [PDF]
Proceedings of the American Mathematical Society, 2004 In this paper, we deal with a class of semilinear elliptic equation in a bounded domain $Ω\subset\mathbb{R}^N$, $N\geq 3$, with $C\sp{1,1}$ boundary. Using a new fixed point result of the Krasnoselskii's type for the sum of two operators, an existence principle of strong solutions is proved. We give two examples where the nonlinearity can be critical.
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Uniqueness of semilinear elliptic inverse problem
International Journal of Mathematics and Mathematical Sciences, 2003 We consider the uniqueness of the inverse problem for a semilinear elliptic differential equation with Dirichlet condition. The necessary and sufficient condition of unique solution is obtained.
Chaochun Qu, Ping Wang
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