Results 31 to 40 of about 376,175 (295)
Boundedness of Stable Solutions to Semilinear Elliptic Equations: A Survey [PDF]
, 2017 This article is a survey on boundedness results for stable solutions to semilinear elliptic problems.For these solutions, we present the currently known L∞${L^{\infty}}$ estimates that hold for all nonlinearities.Such estimates are known to hold up to ...
X. Cabré
semanticscholar +2 more sources
Semilinear elliptic equations and supercritical growth
Journal of Differential Equations, 1987 where p p,. The aim of the present paper is to understand, for the case p > pC, the behaviour of solutions to (1 .I ) with large supremum-norm. To this end 0 is restricted to be the unit ball f3c R3, as in this case the behaviour of solutions to (1.1) can be described in some detail.
Budd, C, Norbury, J
openaire +2 more sources
Algebraic theories of power operations
Journal of Topology, Volume 16, Issue 4, Page 1543-1640, December 2023., 2023 Abstract We develop and exposit some general algebra useful for working with certain algebraic structures that arise in stable homotopy theory, such as those encoding well‐behaved theories of power operations for E∞$\mathbb {E}_\infty$ ring spectra.
William Balderrama
wiley +1 more source
On the exact multiplicity of stable ground states of non-Lipschitz semilinear elliptic equations for some classes of starshaped sets [PDF]
Advances in Nonlinear Analysis, 2018 We prove the exact multiplicity of flat and compact support stable solutions of an autonomous non-Lipschitz semilinear elliptic equation of eigenvalue type according to the dimension N and the two exponents, 0 < α < β < 1, of the involved nonlinearites ...
J. Díaz +2 more
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On the existence of multiple positive entire solutions for a class of quasilinear elliptic equations
International Journal of Mathematics and Mathematical Sciences, 2006 Our goal is to establish the theorems of existence and multiple of positive entire solutions for a class quasilinear elliptic equations in ℝN with the Schauder-Tychonoff fixed point theorem as the principal tool.
Yang Zuodong
doaj +1 more source
Multiple solutions for a semilinear elliptic equation [PDF]
Transactions of the American Mathematical Society, 1995 Let Ω \Omega be a bounded, smooth domain in R N {\mathbb {R}^N} , N ⩾ 1 N \geqslant 1 . We consider the problem of finding nontrivial solutions to the elliptic boundary value problem \[
Patricio Felmer, Manuel del Pino
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Weak solutions of semilinear elliptic equations with Leray-Hardy potentials and measure data [PDF]
Mathematics in Engineering, 2019 We study existence and stability of solutions of (E 1) −∆u + µ |x| 2 u + g(u) = ν in Ω, u = 0 on ∂Ω, where Ω is a bounded, smooth domain of R N , N ≥ 2, containing the origin, µ ≥ − (N −2) 2 4 is a constant, g is a nondecreasing function satisfying some ...
L. Véron, Huyuan Chen
semanticscholar +1 more source
Barekeng, 2023 Let be a bounded open subset of , , be a function in Stummel classes , where , and be a semilinear monotone elliptic equation, where is symmetric matrix, elliptic, bounded, and is non decreasing and Lipschitz. By proving a weighted estimation for
Nicky Kurnia Tumalun
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Analysis of control problems of nonmontone semilinear elliptic equations [PDF]
, 2019 In this paper we study optimal control problems governed by a semilinear elliptic equation. The equation is nonmonotone due to the presence of a convection term, despite the monotonocity of the nonlinear term.
E. Casas, M. Mateos, A. Rösch
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Journal of Function Spaces, 2020 In this paper, we study multiplicity of positive solutions for a class of semilinear elliptic equations with the nonlinearity containing singularity and Hardy-Sobolev exponents.
Yong-Yi Lan, Xian Hu, Bi-Yun Tang
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