Results 51 to 60 of about 338 (66)
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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The trace space of anisotropic least gradient functions depends on the anisotropy. [PDF]
Math Ann, 2023 Górny W.
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Advances in Nonlinear Analysis, 2018 We study the semilinear elliptic ...
Ghergu Marius +2 more
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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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Uniqueness of solutions to singular p-Laplacian equations with subcritical nonlinearity
Advances in Nonlinear Analysis, 2017 We present a geometric approach to the study of quasilinear elliptic p-Laplacian problems on a ball in ℝn${\mathbb{R}^{n}}$ using techniques from dynamical systems.
Maultsby Bevin
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Analysis of positive solutions for classes of quasilinear singular problems on exterior domains
Advances in Nonlinear Analysis, 2017 We consider the ...
Chhetri Maya +2 more
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Mass and Extremals Associated with the Hardy–Schrödinger Operator on Hyperbolic Space
Advanced Nonlinear Studies, 2018 We consider the Hardy–Schrödinger operator Lγ:=-Δ𝔹n-γV2{L_{\gamma}:=-\Delta_{\mathbb{B}^{n}}-\gamma{V_{2}}} on the Poincaré ball model of the hyperbolic space 𝔹n{\mathbb{B}^{n}} (n≥3{n\geq 3}).
Chan Hardy +4 more
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Regularity for critical fractional Choquard equation with singular potential and its applications
Advances in Nonlinear AnalysisWe study the following fractional Choquard equation (−Δ)su+u∣x∣θ=(Iα*F(u))f(u),x∈RN,{\left(-\Delta )}^{s}u+\frac{u}{{| x| }^{\theta }}=({I}_{\alpha }* F\left(u))f\left(u),\hspace{1em}x\in {{\mathbb{R}}}^{N}, where N⩾3N\geqslant 3, s∈12,1s\in \left ...
Liu Senli, Yang Jie, Su Yu
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Advanced Nonlinear Studies, 2017 In the present paper we study the Dirichlet problem for an equation involving the 1-Laplacian and a total variation term as reaction.We prove a strong multiplicity result.
Abdellaoui Boumediene +2 more
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Liouville's type results for singular anisotropic operators
Analysis and Geometry in Metric SpacesWe present two Liouville-type results for solutions to anisotropic elliptic equations that have a growth of power 2 along the first ss coordinate directions and of power pp, with ...
Maria Cassanello Filippo +2 more
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