Spatial-temporal correlations in the speckle pattern for the characterization of cellular motion within a 3D object. [PDF]
Biomed Opt Express, 2023 Weil Y +6 more
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Electronic Journal of Differential Equations, 2013 In this article, we show the existence of multiple positive solutions to a class of degenerate elliptic equations involving critical cone Sobolev exponent and sign-changing weight function on singular manifolds with the help of category theory and the
Haining Fan, Xiaochun Liu
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Echo Chains as a Linear Mechanism: Norm Inflation, Modified Exponents and Asymptotics. [PDF]
Arch Ration Mech Anal, 2021 Deng Y, Zillinger C.
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Uniqueness of Solutions to Nonlinear Schrödinger Equations from their Zeros. [PDF]
Ann PDE, 2022 Kehle C, Ramos JPG.
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Nonhomogeneous elliptic problems of Kirchhoff type involving critical Sobolev exponents
Electronic Journal of Differential Equations, 2015 This article concerns the existence and the multiplicity of solutions for nonhomogeneous elliptic Kirchhoff problems involving the critical Sobolev exponent, defined on a regular bounded domain of $\mathbb{R}^3$.
Safia Benmansour, Mohammed Bouchekif
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An existence result for elliptic problems with singular critical growth
Electronic Journal of Differential Equations, 2007 We prove the existence of nontrivial solutions for the singular critical problem $$ -Delta u-mu frac{u}{|x|^{2}}=lambda f(x)u+u^{2^{ast }-1} $$ with Dirichlet boundary conditions.
Yasmina Nasri
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On the Critical-Subcritical Moments of Moments of Random Characteristic Polynomials: A GMC Perspective. [PDF]
Commun Math Phys, 2022 Keating JP, Wong MD.
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Multiple positive solutions for a critical elliptic problem with concave and convex nonlinearities
Electronic Journal of Differential Equations, 2014 In this article, we study the multiplicity of positive solutions for a semi-linear elliptic problem involving critical Sobolev exponent and concave-convex nonlinearities. With the help of Nehari manifold and Ljusternik-Schnirelmann category, we prove
Haining Fan
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Bifurcation of positive solutions for a semilinear equation with critical Sobolev exponent
Electronic Journal of Differential Equations, 2006 In this note we consider bifurcation of positive solutions to the semilinear elliptic boundary-value problem with critical Sobolev exponent $$displaylines{ -Delta u = lambda u - alpha u^p+ u^{2^*-1}, quad u >0 , quad hbox{in } Omega,cr u=0, quad hbox ...
Yuanji Cheng
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Multiplicity results for nonlinear elliptic equations
Electronic Journal of Differential Equations, 2006 Let $Omega$ be a bounded domain in $mathbb{R}^{N}$, $Ngeq 3$, and $p=frac{2N}{N-2}$ the limiting Sobolev exponent. We show that for $fin H^1_0(Omega)^ast$, satisfying suitable conditions, the nonlinear elliptic problem $$displaylines{ -Delta u =|u |^{ p ...
Samira Benmouloud +2 more
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