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Weak notions of nondegeneracy in nonlinear semidefinite programming
The constraint nondegeneracy condition is one of the most relevant and useful constraint qualifications in nonlinear semidefinite programming. It can...
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Nondegeneracy of the bubble solutions for critical equations involving the polyharmonic operator
We reprove a result by Bartsch, Weth, and Willem (Calc. Var. Partial Differ. Equ. 18(3):253–268,
2003 ) concerning the nondegeneracy of bubble... -
Nondegeneracy for stable solutions to the one-phase free boundary problem
We prove the nondegeneracy condition for stable solutions to the one-phase free boundary problem. The proof is by a De Giorgi iteration, where we...
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Nondegeneracy of eigenvectors and singular vector tuples of tensors
In this article, nondegeneracy of singular vector tuples, Z-eigenvectors and eigenvectors of tensors is studied, which have found many applications...
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On the Weak Second-order Optimality Condition for Nonlinear Semidefinite and Second-order Cone Programming
Second-order necessary optimality conditions for nonlinear conic programming problems that depend on a single Lagrange multiplier are usually built...
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A nondegeneracy condition for a semilinear elliptic system and the existence of multibump solutions
For a class of semilinear elliptic systems, the existence of a broader class of multibump solutions is established under considerably weaker...
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Global Convergence of Algorithms Under Constant Rank Conditions for Nonlinear Second-Order Cone Programming
In Andreani et al. (Weak notions of nondegeneracy in nonlinear semidefinite programming, 2020), the classical notion of nondegeneracy (or...
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On the Problems of Uniqueness of Meromorphic Map**s from Complete Kähler Manifolds into Projective Varieties
We prove the unicity theorems for meromorphic map**s of a complete Kähler manifold into projective varieties sharing few hypersurfaces in the...
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Optimality Conditions for Mathematical Programs with Orthogonality Type Constraints
We consider the class of mathematical programs with orthogonality type constraints. Orthogonality type constraints appear by reformulating the...
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Normality and Nondegeneracy of the Maximum Principle in Optimal Impulsive Control Under State Constraints
We investigate nondegenerate and normal forms of the maximum principle for general, free end-time, impulsive optimal control problems with state and...
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Matching upper and lower moment bounds for a large class of stochastic PDEs driven by general space-time Gaussian noises
In this paper, we obtain matching upper and lower moment bounds for the solution to stochastic partial differential equation driven by a general...
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A Dual Semismooth Newton Based Augmented Lagrangian Method for Large-Scale Linearly Constrained Sparse Group Square-Root Lasso Problems
Square-root Lasso problems have already be shown to be robust regression problems. Furthermore, square-root regression problems with structured...
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Infinity Laplacian equations with singular absorptions
In this work, we study regularity properties for nonvariational singular elliptic equations ruled by the infinity Laplacian. We obtain optimal
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Oscillatory Loomis—Whitney and Projections of Sublevel Sets
We consider an oscillatory integral operator with Loomis—Whitney multilinear form. The phase is real analytic in a neighborhood of the origin in ℝ d ...
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Sublevel-Set Estimates Over Global Domains
Since Varchenko’s seminal paper, the asymptotics of oscillatory integrals and related problems have been elucidated through the Newton polyhedra...
