Results 51 to 60 of about 459 (79)
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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Positive multipeak solutions to a zero mass problem in exterior domains
, 2018 We establish the existence of positive multipeak solutions to the nonlinear scalar field equation with zero mass $$-\Delta u = f(u), \qquad u\in D_0^{1,2}(\Omega_R),$$ where $\Omega_R:=\{x \in \mathbb{R}^N:|u|>R\}$ with $R>0$, $N\geq4$, and the ...
Clapp, Mónica +2 more
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Beyond the classical strong maximum principle: Sign-changing forcing term and flat solutions
Advances in Nonlinear AnalysisWe show that the classical strong maximum principle, concerning positive supersolutions of linear elliptic equations vanishing on the boundary of the domain can be extended, under suitable conditions, to the case in which the forcing term is sign ...
Díaz Jesús Ildefonso +1 more
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Increasing powers in a degenerate parabolic logistic equation [PDF]
, 2012 The purpose of this paper is to study the asymptotic behavior of the positive solutions of the problem $$ \partial_t u-\Delta u=a u-b(x) u^p \text{in} \Omega\times \R^+, u(0)=u_0, u(t)|_{\partial \Omega}=0 $$ as $p\to +\infty$, where $\Omega$ is a ...
Hugo Tavares, Jose Francisco, Rodrigues
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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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A system of equations involving the fractional p-Laplacian and doubly critical nonlinearities
Advanced Nonlinear Studies, 2023 This article deals with existence of solutions to the following fractional pp-Laplacian system of equations: (−Δp)su=∣u∣ps*−2u+γαps*∣u∣α−2u∣v∣βinΩ,(−Δp)sv=∣v∣ps*−2v+γβps*∣v∣β−2v∣u∣αinΩ,\left\{\begin{array}{l}{\left(-{\Delta }_{p})}^{s}u={| u| }^{{p}_{s}^{
Bhakta Mousomi +2 more
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Multiple positive solutions to a p-Kirchhoff equation with logarithmic terms and concave terms
Open MathematicsIn this article, we focus on a class of pp-Kirchhoff-type equations that include logarithmic and concave terms. By applying the variational method, we establish the existence and multiplicity of positive solutions.
Liang Jin-Ping, Wang Ran-Ran, Wang Yue
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The Dirichlet problem for fully nonlinear degenerate elliptic equations with a singular nonlinearity
, 2019 We investigate the homogeneous Dirichlet problem in uniformly convex domains for a large class of degenerate elliptic equations with singular zero order term.
Birindelli, Isabeau, Galise, Giulio
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(p,Q) systems with critical singular exponential nonlinearities in the Heisenberg group
Open Mathematics, 2020 The paper deals with the existence of solutions for (p,Q)(p,Q) coupled elliptic systems in the Heisenberg group, with critical exponential growth at infinity and singular behavior at the origin.
Pucci Patrizia, Temperini Letizia
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Transactions of the London Mathematical Society, 2021 In this paper, we study a class of fractional Schrödinger equations involving logarithmic and critical non‐linearities on an unbounded domain, and show that such an equation with positive or sign‐changing weight potentials admits at least one positive ...
Haining Fan, Zhaosheng Feng, Xingjie Yan
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