Results 1 to 10 of about 1,594 (106)

On the stability of standing waves of Klein-Gordon equations in a semiclassical regime [PDF]

open access: yesarXiv, 2012
We investigate the orbital stability and instability of standing waves for two classes of Klein-Gordon equations in the semi-classical regime.Comment: 9 ...
______   +41 more
core   +4 more sources

Boundary regularity for manifold constrained p(x)‐harmonic maps

open access: yesJournal 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

On quasilinear elliptic problems with finite or infinite potential wells

open access: yesOpen 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
doaj   +1 more source

The existence and multiplicity of the normalized solutions for fractional Schrödinger equations involving Sobolev critical exponent in the L2-subcritical and L2-supercritical cases

open access: yesAdvances 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

Regularity of degenerate k-Hessian equations on closed Hermitian manifolds

open access: yesAdvanced 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
doaj   +1 more source

Existence of solutions for a double-phase variable exponent equation without the Ambrosetti-Rabinowitz condition

open access: yesAdvances in Nonlinear Analysis, 2023
The article deals with the existence of a pair of nontrivial nonnegative and nonpositive solutions for a nonlinear weighted quasilinear equation in RN{{\mathbb{R}}}^{N}, which involves a double-phase general variable exponent elliptic operator A{\bf{A}}.
Liu Jingjing, Pucci Patrizia
doaj   +1 more source

Half-space Gaussian symmetrization: applications to semilinear elliptic problems

open access: yesAdvances 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.
doaj   +1 more source

On degenerate case of prescribed curvature measure problems

open access: yesAdvanced 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
doaj   +1 more source

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