Results 41 to 50 of about 83 (77)
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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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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On singular double phase problem with variable exponents and convolution term
Open MathematicsIn this article, we consider the following singular double phase problem with variable exponents and convolution term of the form: −Tp(x),q(x)α(x)(u)=λs(x)u−γ(x)+∫Ω|u(x)|h(x)|x−y|μ(x,y)|u(y)|h(x)−2u(y)inΩ,u=0on∂Ω, $$\begin{cases}-{\mathcal{T}}_{p\left(x ...
He Rui, Liang Sihua
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