Results 201 to 210 of about 1,238 (226)
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p-Laplacian problems with critical Sobolev exponent
Asymptotic Analysis, 2011We use variational methods to study the asymptotic behavior of solutions of p-Laplacian problems with nearly subcritical non-linearity in general, possibly non-smooth, bounded domains.
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On Kirchhoff type equations with critical Sobolev exponent
Journal of Mathematical Analysis and Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yisheng Huang, Zeng Liu, Yuanze Wu
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Fractional Kirchhoff-type equation with Hardy–Littlewood–Sobolev critical exponent
Computers & Mathematics with Applications, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu Su, Haibo Chen
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Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
Communications on Pure and Applied Mathematics, 1983Semilinear elliptic equations involving critical Sobolev exponents were considered being hard to attack because of the lack of compactness. Indeed the well known nonexistence results of Pokhožaev asserts that, for a starshaped domain, there is no nontrivial solution for the BVP with critical Sobolev power function as nonlinear term. Surprisingly, it is
Brézis, Haïm, Nirenberg, Louis
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Nonlinear elliptic equations involving critical Sobolev exponents
2000The purpose of these notes is to present a survey of some recent results dealing with existence, nonexistence and multiplicity of nontrivial solutions for semilinear elliptic equations, whose nonlinear term has critical or supercritical growth.
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Normalized Solutions of the Choquard Equation with Sobolev Critical Exponent
Frontiers of MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feng, Xiaojing, Li, Yuhua
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