Results 51 to 60 of about 741 (89)
Demonstratio MathematicaThis article is concerned with the following Kirchhoff equation: −a+b∫R3∣∇u∣2dxΔu=g(u)+h(x)inR3,-\left(a+b\mathop{\int }\limits_{{{\mathbb{R}}}^{3}}{| \nabla u| }^{2}{\rm{d}}x\right)\Delta u=g\left(u)+h\left(x)\hspace{1em}{\rm{in}}\hspace{0.33em ...
Huang Lanxin, Su Jiabao
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The Hénon–Lane–Emden System: A Sharp Nonexistence Result
Advanced Nonlinear Studies, 2017 We deal with very weak positive supersolutions to the Hénon–Lane–Emden system on neighborhoods of the origin. In our main theorem we prove a sharp nonexistence result.
Carioli Andrea, Musina Roberta
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On singular solutions of Lane-Emden equation on the Heisenberg group
Advanced Nonlinear Studies, 2023 By applying the gluing method, we construct infinitely many axial symmetric singular positive solutions to the Lane-Emden equation: ΔHu+up=0,inHn\{0}{\Delta }_{{\mathbb{H}}}u+{u}^{p}=0\left,\hspace{1.0em}\hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0 ...
Wei Juncheng, Wu Ke
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Initial Blow-up of Solutions of Semilinear Parabolic Inequalities [PDF]
arXiv, 2009 We obtain an upper bound on the initial blow-up of nonnegative solutions of second order semilinear parabolic inequalities when a superlinear exponent in the inequalities is not too large.
arxiv
Nonlinear Liouville problems in a quarter plane [PDF]
arXiv, 2015 We answer affirmatively the open problem proposed by Cabr\'e and Tan in their paper "Positive solutions of nonlinear problems involving the square root of the Laplacian" (see Adv. Math. {\bf 224} (2010), no. 5, 2052-2093).
arxiv
Torsion and ground state maxima: close but not the same
, 2015 Could the location of the maximum point for a positive solution of a semilinear Poisson equation on a convex domain be independent of the form of the nonlinearity? Cima and Derrick found certain evidence for this surprising conjecture.
Benson, Brian A. +3 more
core
On the solutions of a singular elliptic equation concentrating on a circle
Advances in Nonlinear Analysis, 2014 Let A={x∈ℝ2N+2 ...
Manna Bhakti B. +1 more
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On a class of semipositone problems with singular Trudinger-Moser nonlinearities [PDF]
arXiv, 2019 We prove the existence of positive solutions for a class of semipositone problem with singular Trudinger-Moser nonlinearities. The proof is based on compactness and regularity arguments.
arxiv
A class of semipositone p-Laplacian problems with a critical growth reaction term
Advances in Nonlinear Analysis, 2019 We prove the existence of ground state positive solutions for a class of semipositone p-Laplacian problems with a critical growth reaction term. The proofs are established by obtaining crucial uniform C1,α a priori estimates and by concentration ...
Perera Kanishka +2 more
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Positivity of solutions to the Cauchy problem for linear and semilinear biharmonic heat equations
Advances in Nonlinear Analysis, 2020 This paper is concerned with the positivity of solutions to the Cauchy problem for linear and nonlinear parabolic equations with the biharmonic operator as fourth order elliptic principal part. Generally, Cauchy problems for parabolic equations of fourth
Grunau Hans-Christoph +2 more
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