Results 1 to 10 of about 909 (87)
Advances in Nonlinear Analysis, 2022 This paper is devoted to investigate the existence and multiplicity of the normalized solutions for the following fractional Schrödinger equation: (P)(−Δ)su+λu=μ∣u∣p−2u+∣u∣2s∗−2u,x∈RN,u>0,∫RN∣u∣2dx=a2,\left\{\begin{array}{l}{\left(-\Delta )}^{s}u+\lambda
Li Quanqing, Zou Wenming
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Regularity of degenerate k-Hessian equations on closed Hermitian manifolds
Advanced Nonlinear Studies, 2022 In this article, we are concerned with the existence of weak C1,1{C}^{1,1} solution of the kk-Hessian equation on a closed Hermitian manifold under the optimal assumption of the function in the right-hand side of the equation.
Zhang Dekai
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On quasilinear elliptic problems with finite or infinite potential wells
Open Mathematics, 2021 We consider quasilinear elliptic problems of the form −div(ϕ(∣∇u∣)∇u)+V(x)ϕ(∣u∣)u=f(u),u∈W1,Φ(RN),-{\rm{div}}\hspace{0.33em}(\phi \left(| \nabla u| )\nabla u)+V\left(x)\phi \left(| u| )u=f\left(u),\hspace{1.0em}u\in {W}^{1,\Phi }\left({{\mathbb{R}}}^{N}),
Liu Shibo
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Moroccan Journal of Pure and Applied Analysis, 2022 We study the existence and regularity results for non-linear elliptic equation with degenerate coercivity and a singular gradient lower order term. The model problems is {-div(b(x)|∇u|p-2∇u(1+|u|)γ)+|∇u|p|u|θ=f,in Ω,u=0,on ∂Ω,\left\{ {\matrix{ { - div ...
Khelifi Hichem
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On degenerate case of prescribed curvature measure problems
Advanced Nonlinear Studies, 2023 In this article, we prove the C1,1 estimate for solutions of prescribed curvature measure problems when the prescribed function may touch zero somewhere.
Qiu Guohuan, Suo Jingjing
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Half-space Gaussian symmetrization: applications to semilinear elliptic problems
Advances in Nonlinear Analysis, 2021 We consider a class of semilinear equations with an absorption nonlinear zero order term of power type, where elliptic condition is given in terms of Gauss measure.
Díaz J. I., Feo F., Posteraro M. R.
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Boundary regularity results for minimisers of convex functionals with (p, q)-growth
Advances in Nonlinear Analysis, 2023 We prove improved differentiability results for relaxed minimisers of vectorial convex functionals with (p,q)\left(p,q)-growth, satisfying a Hölder-growth condition in xx. We consider both Dirichlet and Neumann boundary data.
Irving Christopher, Koch Lukas
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An easy proof of Jensen's theorem on the uniqueness of infinity harmonic functions [PDF]
, 2009 We present a new, easy, and elementary proof of Jensen's Theorem on the uniqueness of infinity harmonic functions. The idea is to pass to a finite difference equation by taking maximums and minimums over small balls.Comment: 4 pages; comments added ...
A.M. Oberman +9 more
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On some nonlinear elliptic systems with coercive perturbations in RN [PDF]
, 2003 A nonlinear elliptic system involving the p-Laplacian is considered in the whole RN: Existence of nontrivial solutions is obtained by applying critical point theory; also a regularity result is established.A nonlinear elliptic system involving the p ...
El Manouni, Said, Touzani, Abdelfattah
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Phragm\'en-Lindel\"of theorem for infinity harmonic functions [PDF]
, 2015 We investigate a version of the Phragm\'en-Lindel\"of theorem for solutions of the equation $\Delta_\infty u=0$ in unbounded convex domains. The method of proof is to consider this infinity harmonic equation as the limit of the $p$-harmonic equation when
Granlund, Seppo, Marola, Niko
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