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Existence of solutions for nonlocal Schrödinger–Kirchhoff problems with critical Trudinger–Moser nonlinearity

Mathematische Nachrichten
In this paper, we are concerned with solutions for nonlocal Schrödinger–Kirchhoff problems with critical Trudinger–Moser nonlinearity on a bounded domain with Lipschitz boundary.
Jin Liang, Zhi‐Cheng Xiong
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NEWTON’S METHOD IN CONSTRUCTING A SINGULAR SET OF A MINIMAX SOLUTION IN A CLASS OF BOUNDARY VALUE PROBLEMS FOR THE HAMILTON - JACOBI EQUATIONS

Челябинский физико-математический журнал
The non-smooth features of the minimax (generalized) solution of the considered class of Dirichlet problems for equations of Hamiltonian type are due to the existence of pseudo-vertices - singular points of the boundary of the boundary set.
P. D. Lebebev, A. Uspenskii
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Existence results for a class of generalized complementarity problems

Filomat
In this paper, we establish some existence results for the extended generalized complementarity problems in topological vector spaces, using the concept of minimax inequality and copositivity.
Sujeet Kumar, B. Sahu, S. Pani
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Sign-changing and nontrivial solutions for a class of Kirchhoff-type problems

, 2020
In this paper, we study the existence of sign-changing (nodal) and nontrivial solutions for the nonlinear Kirchhoff-type equation { − ( a + b ∫ Ω | ∇ u | 2 d x ) Δ u = α u + β u 3 in Ω , u = 0 on ∂ Ω , where α , β ∈ R are two real parameters.
Bin Chen, Z. Ou
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Robust solutions of nonlinear least squares problems via min-max optimization

IMA Journal of Numerical Analysis
This paper considers robust solutions to a class of nonlinear least squares problems using a min-max optimization approach. We give an explicit formula for the value function of the inner maximization problem and show the existence of global minimax ...
Xiaojun Chen, C. Kelley
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Multiple Nontrivial Solutions for Superlinear Double Phase Problems Via Morse Theory

Chinese Annals of Mathematics. Series B, 2023
B. Ge, Beilei Zhang, Wen-Shuo Yuan
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Multiple Ordered Solutions for a Class of Problems Involving the 1-Laplacian Operator

Journal of Geometric Analysis, 2022
G. G. Santos, G. Figueiredo, M. Pimenta
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