Results 11 to 20 of about 1,368 (124)
Normalized Solutions with Positive Energies for a Coercive Problem and Application to the Cubic-Quintic Nonlinear Schrodinger Equation [PDF]
Mathematical Models and Methods in Applied Sciences, 2021 . In any dimension N ≥ 1, for given mass m > 0 and when the C 1 energy functional is coercive on the mass constraint we are interested in searching for constrained critical points at positive energy levels.
L. Jeanjean, Sheng-Sen Lu
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Higher integrability of the gradient for the thermal insulation problem [PDF]
Interfaces and free boundaries (Print), 2021 We prove the higher integrability of the gradient for local minimizers of the thermal insulation problem, an analogue of De Giorgi’s conjecture for the Mumford-Shah functional. We deduce that the singular part of the free boundary has Hausdorff dimension
Camille Labourie, Emmanouil D. Milakis
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Qualitative analysis for the nonlinear fractional Hartree type system with nonlocal interaction
Advances in Nonlinear Analysis, 2021 In the present paperwe study the existence of nontrivial solutions of a class of static coupled nonlinear fractional Hartree type system. First, we use the direct moving plane methods to establish the maximum principle(Decay at infinity and Narrow region
Wang Jun
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Infinitely many radial and non-radial sign-changing solutions for Schrödinger equations
Advances in Nonlinear Analysis, 2022 In the present paper, a class of Schrödinger equations is investigated, which can be stated as −Δu+V(x)u=f(u), x∈ℝN.- \Delta u + V(x)u = f(u),\;\;\;\;x \in {{\rm{\mathbb R}}^N}.
Li Gui-Dong, Li Yong-Yong, Tang Chun-Lei
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On a weighted elliptic equation of N-Kirchhoff type with double exponential growth
Demonstratio Mathematica, 2022 In this work, we study the weighted Kirchhoff problem −g∫Bσ(x)∣∇u∣Ndxdiv(σ(x)∣∇u∣N−2∇u)=f(x,u)inB,u>0inB,u=0on∂B,\left\{\begin{array}{ll}-g\left(\mathop{\displaystyle \int }\limits_{B}\sigma \left(x)| \nabla u\hspace{-0.25em}{| }^{N}{\rm{d}}x\right){\rm ...
Abid Imed, Baraket Sami, Jaidane Rached
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Intertwining semiclassical solutions to a Schrödinger-Newton system [PDF]
, 2011 We study the problem ( (−"i∇ + A(x)) 2 u + V (x)u = " 2 1 |x| ∗ |u| 2 u, u ∈ L 2 (R 3 ,C), "∇u + iAu ∈ L 2 (R 3 ,C 3 ), where A: R3 → R3 is an exterior magnetic potential, V : R3 → R is an exte- rior electric potential, and " is a small positive ...
S. Cingolani, M. Clapp, S. Secchi
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Open Mathematics, 2019 The present study is concerned with the following Schrödinger-Poisson system involving critical nonlocal ...
Shao Liuyang
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Advances in Nonlinear Analysis, 2020 We consider a nonlinear elliptic equation driven by the (p, q)–Laplacian plus an indefinite potential. The reaction is (p − 1)–superlinear and the boundary term is parametric and concave.
Papageorgiou Nikolaos S., Zhang Youpei
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Existence and Regularity of a Weak Solution to a Class of Systems in a Multi-Connected Domain
Journal of Partial Differential Equations, 2019 We consider the existence and regularity of a weak solution to a class of systems containing a p-curl system in a multi-connected domain. This paper extends the result of the regularity theory for a class containing a p-curl system that is given in the ...
Junichi Aramaki sci
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Generalized Picone inequalities and their applications to (p,q)-Laplace equations
Open Mathematics, 2020 We obtain a generalization of the Picone inequality which, in combination with the classical Picone inequality, appears to be useful for problems with the (p,q)(p,q)-Laplace-type operators.
Bobkov Vladimir, Tanaka Mieko
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