Results 61 to 70 of about 1,002 (168)
Multiplicity‐1 minmax minimal hypersurfaces in manifolds with positive Ricci curvature
Communications on Pure and Applied Mathematics, Volume 77, Issue 3, Page 2081-2137, March 2024.Abstract We address the one‐parameter minmax construction for the Allen–Cahn energy that has recently lead to a new proof of the existence of a closed minimal hypersurface in an arbitrary compact Riemannian manifold Nn+1$N^{n+1}$ with n≥2$n\ge 2$ (Guaraco's work, relying on works by Hutchinson, Tonegawa, and Wickramasekera when sending the Allen–Cahn ...
Costante Bellettini
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Almost monotonicity formula for H‐minimal Legendrian surfaces in the Heisenberg group
Communications on Pure and Applied Mathematics, Volume 77, Issue 3, Page 1940-1957, March 2024.Abstract We prove an almost monotonicity formula for H‐minimal Legendrian Surfaces (also called contact stationary Legendrian immersions or Hamiltonian stationary immersions) in the Heisenberg Group H2${\mathbb {H}}^2$. From this formula we deduce a Bernstein‐Liouville type theorem for H‐minimal Legendrian Surfaces.
Tristan Rivière
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A Global Diffeomorphism Theorem for Fr\'{e}chet spaces
, 2023 We give sufficient conditions for a $ C^1_c $-local diffeomorphism between Fr\'{e}chet spaces to be a global one. We extend the Clarke's theory of generalized gradients to the more general setting of Fr\'{e}chet spaces.
Eftekharinasab, Kaveh
core +1 more source
An existence result for hemivariational inequalities
Electronic Journal of Differential Equations, 2004 We present a general method for obtaining solutions for an abstract class of hemivariational inequalities. This result extends many results to the nonsmooth case. Our proof is based on a nonsmooth version of the Mountain Pass Theorem with Palais-Smale or
Zsuzsanna Dalyay, Csaba Varga
doaj
Equivariant Lagrangian Floer homology via cotangent bundles of EGN$EG_N$
Journal of Topology, Volume 17, Issue 1, March 2024.Abstract We provide a construction of equivariant Lagrangian Floer homology HFG(L0,L1)$HF_G(L_0, L_1)$, for a compact Lie group G$G$ acting on a symplectic manifold M$M$ in a Hamiltonian fashion, and a pair of G$G$‐Lagrangian submanifolds L0,L1⊂M$L_0, L_1 \subset M$.
Guillem Cazassus
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Nontrivial solutions for noncooperative elliptic systems at resonance
Electronic Journal of Differential Equations, 2001 In this article we establish the existence of a nonzero solution for variational noncooperative elliptic systems under Dirichlet boundary conditions and a resonant condition at infinity.
Elves A. B. Silva
doaj
Solvability of a Class of Fractional Advection–Dispersion Coupled Systems
MathematicsThe purpose of this study is to provide some criteria for the existence and multiplicity of solutions for a class of fractional advection–dispersion coupled systems with nonlinear Sturm–Liouville conditions and instantaneous and non-instantaneous ...
Yan Qiao, Tao Lu
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Non‐autonomous double phase eigenvalue problems with indefinite weight and lack of compactness
Bulletin of the London Mathematical Society, Volume 56, Issue 2, Page 734-755, February 2024.Abstract In this paper, we consider eigenvalues to the following double phase problem with unbalanced growth and indefinite weight, −Δpau−Δqu=λm(x)|u|q−2uinRN,$$\begin{equation*} \hspace*{3pc}-\Delta _p^a u-\Delta _q u =\lambda m(x)|u|^{q-2}u \quad \mbox{in} \,\, \mathbb {R}^N, \end{equation*}$$where N⩾2$N \geqslant 2$, 1
Tianxiang Gou, Vicenţiu D. Rădulescu
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On certain nonlinear elliptic systems with indefinite terms
Electronic Journal of Differential Equations, 2002 We consider an elliptic quasi linear systems with indefinite term on a bounded domain. Under suitable conditions, existence and positivity results for solutions are given. Submitted April 2, 2002. Published October 2, 2002.
Ahmed Bensedik, Mohammed Bouchekif
doaj
A mountain pass theorem without Palais–Smale condition
Comptes Rendus. Mathématique, 2005 Given a Hilbert space ( H , 〈 ⋅ , ⋅ 〉 ) , Λ
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