Dispersive estimates for 2D-wave equations with critical potentials
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DOI: 10.1016/j.aim.2022.108333
Abstract: We study the 2D-wave equation with a scaling-critical electromagnetic potential. This problem is doubly critical, because of the scaling invariance of the model and the singularities of the potentials, which are not locally integrable. In… read more here.
Keywords: estimates wave; critical potentials; equations critical; wave equations ... See more keywords
On Kirchhoff type equations with critical Sobolev exponent
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.02.023
Abstract: We study the following Brezis-Nirenberg problem of Kirchhoff type $$ \left\{\aligned &-(a+b\int_{\Omega}|\nabla u|^2dx)\Delta u = \lambda|u|^{q-2}u + \delta |u|^{2}u, &\quad \text{in}\ \Omega, \\ &u=0,& \text{on}\ \partial\Omega, \endaligned \right. $$ where $\Omega\subset \bbr^4$ is a bounded… read more here.
Keywords: critical sobolev; equations critical; type equations; sobolev exponent ... See more keywords
Concentration phenomenon of solutions for a class of Kirchhoff-type equations with critical growth
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DOI: 10.1016/j.jmaa.2020.124355
Abstract: Abstract In this paper, we study the following Kirchhoff-type equations with critical growth − ( e 2 a + e b ∫ R 3 | ∇ u | 2 d x ) Δ u +… read more here.
Keywords: critical growth; equations critical; kirchhoff type; type equations ... See more keywords
Existence of nontrivial solutions for generalized quasilinear Schrödinger equations with critical or supercritical growths
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DOI: 10.1016/s0252-9602(17)30113-3
Abstract: Abstract In this paper, we study the following generalized quasilinear Schrodinger equations with critical or supercritical growths - div ( g 2 ( u ) ∇ u ) + g ( u ) g ′… read more here.
Keywords: critical supercritical; nontrivial solutions; equations critical; generalized quasilinear ... See more keywords