Results 1 to 10 of about 203 (82)
, 2019 For a class of fully nonlinear equations having second order operators which may be singular or degenerate when the gradient of the solutions vanishes, and having first order terms with power growth, we prove the existence and uniqueness of suitably defined viscosity solution of Dirichlet problem and we further show that it is a Lipschitz continuous ...
Birindelli, Isabeau +2 more
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, 2019 We study the ergodic problem for fully nonlinear operators which may be singular or degenerate when the gradient of solutions vanishes. We prove the convergence of both explosive solutions and solutions of Dirichlet problems for approximating equations.
Birindelli, Isabeau +2 more
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Dirichlet Eigenvalue Problem of Degenerate Elliptic Operators with Non-Smooth Coefficients
Communications in Mathematical Research, 2022 The aim of this review is to introduce some recent results in eigenvalues problems for a class of degenerate elliptic operators with non-smooth coefficients, we present the explicit estimates of the lower bound and upper bound for its Dirichlet ...
Hua Chen, Hong-ge Chen, Jin-ning Li
semanticscholar +1 more source
Boundary regularity for manifold constrained p(x)‐harmonic maps
Journal of the London Mathematical Society, Volume 104, Issue 5, Page 2335-2375, December 2021., 2021 Abstract We prove partial and full boundary regularity for manifold constrained p(x)‐harmonic maps.
Iwona Chlebicka +2 more
wiley +1 more source
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
doaj +1 more source
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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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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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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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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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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