Quasilinear problems with critical Sobolev exponent for the Grushin p-Laplace operator [PDF]
Somnath Gandal +2 more
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Abstract and Applied Analysis, 2019 Via the concentration compactness principle, delicate energy estimates, the strong maximum principle, and the Mountain Pass lemma, the existence of positive solutions for a nonlinear PDE with multi-singular inverse square potentials and critical Sobolev ...
M. Khiddi
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Du Bois-Reymond Type Lemma and Its Application to Dirichlet Problem with the p(t)-Laplacian on a Bounded Time Scale. [PDF]
Entropy (Basel), 2021 Mawhin J +2 more
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Two Positive Normalized Solutions and Phase Separation for Coupled Schrödinger Equations on Bounded Domain with L2-Supercritical and Sobolev Critical or Subcritical Exponent [PDF]
, 2023 Linjie Song, Wenming Zou
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Multiplicity of solutions to the sum of polyharmonic equations with critical Sobolev exponents
Electronic Journal of Differential Equations, 2015 In this article, we prove multiplicity of solutions for the sum of polyharmonic equation with critical Sobolev exponent. The proof is based upon the methods of weakly lower semi-continuous of the functionals and the Mountain Pass Lemma without (PS ...
Wei Liu, Gao Jia, Lu-Quian Guo
doaj
On singular elliptic equations involving critical Sobolev exponent
Journal of Physics: Conference Series, 2014 Given a n–dimensional compact Riemannian manifold (M, g) with n ≥ 5, we consider the following semi-linear elliptic equation: where the functions a, b and h are in suitable Lebesgue spaces, 2 0 a real parameter, f is a smooth positive function and the operator Pg is coercive. Under some additional conditions, we obtain results concering the existence
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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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Existence of Multiple Solutions for a Singular Elliptic Problem with Critical Sobolev Exponent [PDF]
, 2012 Zonghu Xiu
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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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On nonhomogeneous elliptic problems involving the Hardy potential and critical Sobolev exponent [PDF]
, 2017 Jing Zhang, Shiwang Ma
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