Results 21 to 30 of about 569 (77)
On Coron's problem for the p-Laplacian [PDF]
, 2014 We prove that the critical problem for the $p$-Laplacian operator admits a nontrivial solution in annular shaped domains with sufficiently small inner hole.
Mercuri, Carlo +2 more
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A bifurcation result involving Sobolev trace embedding and the duality mapping of W1,p
Moroccan Journal of Pure and Applied Analysis, 2017 We consider the perturbed nonlinear boundary condition ...
El Khalil Abdelouahed
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Advances in Nonlinear Analysis, 2021 In this paper we study double phase problems with nonlinear boundary condition and gradient dependence. Under quite general assumptions we prove existence results for such problems where the perturbations satisfy a suitable behavior in the origin and at ...
Manouni Said El +2 more
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, 2018 In this paper we prove the existence of radial solutions having a prescribed number of sign change to the p-Laplacian ∆pu + f(u) = 0 on exterior domain of the ball of radius R > 0 centered at the origin in R. The nonlinearity f is odd and behaves like |u|
B. Azeroual, A. Zertiti
semanticscholar +1 more source
Some class of nonlinear inequalities with gradient constraints in Orlicz spaces
Moroccan Journal of Pure and Applied Analysis, 2020 In the present paper, we show the existence of solutions of some nonlinear inequalities of the form 〈Au + g(x, u,∇ u), v −u〉 ≥〈 f, v −u〉 with gradient constraint that depend on the solution itself, where A is a Leray-Lions operator defined on Orlicz ...
Ajagjal S., Meskine D.
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Some recent results on singular p-Laplacian equations
Demonstratio Mathematica, 2022 A short account of some recent existence, multiplicity, and uniqueness results for singular p-Laplacian problems either in bounded domains or in the whole space is performed, with a special attention to the case of convective reactions.
Guarnotta Umberto +2 more
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Supersolutions to nonautonomous Choquard equations in general domains
Advances in Nonlinear Analysis, 2023 We consider the nonlocal quasilinear elliptic problem: −Δmu(x)=H(x)((Iα*(Qf(u)))(x))βg(u(x))inΩ,-{\Delta }_{m}u\left(x)=H\left(x){(\left({I}_{\alpha }* \left(Qf\left(u)))\left(x))}^{\beta }g\left(u\left(x))\hspace{1.0em}\hspace{0.1em}\text{in}\hspace{0 ...
Aghajani Asadollah, Kinnunen Juha
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Existence of positive solution for a singular system involving general quasilinear operators
, 2014 In this paper we study a result of existence of positive solution the following class of singular system: (P) ⎪⎪⎨ ⎪⎪⎩ −div(a1(|∇u|1 )|∇u|p1−2∇u) = h1(x)v−γ1 + k1(x)v1 in Ω, −div(a2(|∇v|2 )|∇v|p2−2∇v) = h2(x)u−γ2 + k2(x)u2 in Ω, u,v > 0 in Ω, u = v = 0 on
F. Corrêa +2 more
semanticscholar +1 more source
An optimal bound for nonlinear eigenvalues and torsional rigidity on domains with holes
, 2020 In this paper we prove an optimal upper bound for the first eigenvalue of a Robin-Neumann boundary value problem for the p-Laplacian operator in domains with convex holes.
Della Pietra, Francesco +1 more
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On viscosity and weak solutions for non-homogeneous p-Laplace equations
Advances in Nonlinear Analysis, 2017 In this manuscript, we study the relation between viscosity and weak solutions for non-homogeneous p-Laplace equations with lower-order term depending on x, u and ∇u{\nabla u}.
Medina Maria, Ochoa Pablo
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