Soliton solutions for quasilinear Schrödinger equations involving convolution and critical Nonlinearities
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Publication:2061518
DOI10.1007/s12220-021-00740-yzbMath1480.35219OpenAlexW4200502182MaRDI QIDQ2061518
Publication date: 15 December 2021
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12220-021-00740-y
critical exponentquasilinear Schrödinger equationChoquard equationexistence of ground state solutions
Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)
Related Items (7)
On the p-Laplacian Kirchhoff–Schrödinger equation with potentials vanishing or unbounded at infinity in R3 ⋮ On multi-bump solutions for the Choquard-Kirchhoff equations in \(\mathbb{R}^N\) ⋮ Existence of positive solution for a class of quasilinear Schrödinger equations with critical Choquard nonlinearity ⋮ \(p\)-Kirchhoff modified Schrödinger equation with critical nonlinearity in \(\mathbb{R}^N\) ⋮ Existence and concentration of solutions for a 1-biharmonic Choquard equation with steep potential Well in \(R^N \) ⋮ Multi-bump solutions for the quasilinear Choquard equation in \(\mathbb{R}^N\) ⋮ Multiple solutions for the quasilinear Choquard equation with Berestycki-Lions-type nonlinearities
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