Results 71 to 80 of about 1,041 (107)
On a nonlinear Robin problem with an absorption term on the boundary and L1 data
Advances in Nonlinear AnalysisWe deal with existence and uniqueness of nonnegative solutions to: −Δu=f(x),inΩ,∂u∂ν+λ(x)u=g(x)uη,on∂Ω,\left\{\begin{array}{ll}-\Delta u=f\left(x),\hspace{1.0em}& \hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}\Omega ,\\ \frac{\partial u}{\partial ...
Pietra Francesco Della +2 more
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Global and blow up solutions to cross diffusion systems
Advances in Nonlinear Analysis, 2015 Necessary and sufficient conditions for global existence of classical solutions to a class of cross diffusion systems on n-dimensional domains are given. Examples of blow up solutions are also presented.
Ahmad Shair, Le Dung
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On Removable Singularities of Solutions of Higher-Order Differential Inequalities
Advanced Nonlinear Studies, 2020 We obtain sufficient conditions for solutions of the mth-order differential ...
Kon’kov A. A., Shishkov A. E.
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Existence and multiplicity of solutions for a new p(x)-Kirchhoff equation
Advances in Nonlinear AnalysisThis article is devoted to study a class of new p(x)p\left(x)-Kirchhoff equation. By means of perturbation technique, variational method, and the method invariant sets for the descending flow, the existence and multiplicity of solutions to this problem ...
Chu Changmu, Liu Jiaquan
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Moroccan Journal of Pure and Applied Analysis, 2020 In this paper, we show the existence of solutions for the nonlinear elliptic equations of the ...
Bourahma M., Bennouna J., El Moumni M.
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Green function estimates on complements of low-dimensional uniformly rectifiable sets. [PDF]
Math Ann, 2023 David G, Feneuil J, Mayboroda S.
europepmc +1 more source
Large solutions to non-divergence structure semilinear elliptic equations with inhomogeneous term
Advances in Nonlinear Analysis, 2017 Motivated by the work [9], in this paper we investigate the infinite boundary value problem associated with the semilinear PDE Lu=f(u)+h(x){Lu=f(u)+h(x)} on bounded smooth domains Ω⊆ℝn{\Omega\subseteq\mathbb{R}^{n}}, where L is a non-divergence ...
Mohammed Ahmed, Porru Giovanni
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The Gelfand problem for the 1-homogeneous p-Laplacian
Advances in Nonlinear Analysis, 2017 In this paper, we study the existence of viscosity solutions to the Gelfand problem for the 1-homogeneous p-Laplacian in a bounded domain Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}}, that is, we deal ...
Carmona Tapia José +2 more
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An introduction to “Second Order Subelliptic PDEs”: the scientific work of Ermanno Lanconelli
Analysis and Geometry in Metric SpacesWe present an overview of the scientific activity of Ermanno Lanconelli, to whom this volume is dedicated on the occasion of his birthday.
Bonfiglioli Andrea +10 more
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On Cauchy–Liouville-type theorems
Advances in Nonlinear Analysis, 2017 In this paper we explore Liouville-type theorems to solutions of PDEs involving the ϕ-Laplace operator in the setting of Orlicz–Sobolev spaces. Our results extend Liouville-type theorems that have been obtained recently.
Araya Ataklti, Mohammed Ahmed
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