Global multiplicity of solutions for a class of singular p-Laplacian equations
Demonstratio MathematicaThis paper is concerned with a singular problem involving a quasilinear operator and the critical term. We get the global existence and multiplicity of solutions as the parameter λ varies.
Tan Xiaoqing, Wang Libo
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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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An elliptic problem involving critical Choquard and singular discontinuous nonlinearity
Advanced Nonlinear StudiesThe present article investigates the existence, multiplicity and regularity of weak solutions of problem involving a combination of critical Hartree-type nonlinearity along with singular and discontinuous nonlinearities (see (Pλ) $\left({\mathcal{P}}_ ...
Anthal Gurdev Chand +2 more
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Advances in Nonlinear Analysis, 2018 We study the semilinear elliptic ...
Ghergu Marius +2 more
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On a nonlinear Robin problem with an absorption term on the boundary and L1 data
Advances in Nonlinear AnalysisWe deal with existence and uniqueness of nonnegative solutions to: −Δu=f(x),inΩ,∂u∂ν+λ(x)u=g(x)uη,on∂Ω,\left\{\begin{array}{ll}-\Delta u=f\left(x),\hspace{1.0em}& \hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}\Omega ,\\ \frac{\partial u}{\partial ...
Pietra Francesco Della +2 more
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Uniqueness of solutions to singular p-Laplacian equations with subcritical nonlinearity
Advances in Nonlinear Analysis, 2017 We present a geometric approach to the study of quasilinear elliptic p-Laplacian problems on a ball in ℝn${\mathbb{R}^{n}}$ using techniques from dynamical systems.
Maultsby Bevin
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Nehari manifold approach to singular fourth-order Leray–Lions equations with no-flux boundary conditions [PDF]
Arab Journal of Mathematical SciencesPurposeIn this paper, we study a fourth-order singular problems of type Leray–Lions with singular weight and with no-flux boundary conditions.Design/methodology/approachWe use the Nehari manifold to establish our result for our problem.FindingsWe prove ...
Ibrahim Chamlal +3 more
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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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Properties of MDTM and RDTM for two–Dimensional Lane– Emden Equations and Systems Equations
, 2022 Nadir Teyar
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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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