Multiple solutions for weighted Kirchhoff equations involving critical Hardy-Sobolev exponent
From MaRDI portal
Publication:2027101
DOI10.1515/anona-2020-0152zbMath1466.35196OpenAlexW3105176005MaRDI QIDQ2027101
Publication date: 25 May 2021
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/anona-2020-0152
Kirchhoff equationconcentration-compactness principleindefinite nonlinearitycritical Hardy-Sobolev exponent
Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)
Related Items
Nonlocal p-Kirchhoff equations with singular and critical nonlinearity terms ⋮ Cylindrical solutions and ground state solutions to weighted Kirchhoff equations ⋮ New generalized Halanay inequalities and relative applications to neural networks with variable delays ⋮ Existence and concentration of solutions for a class of biharmonic Kirchhoff equations with discontinuous nonlinearity ⋮ The third solution for a Kirchhoff-type problem with a critical exponent
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Ground state sign-changing solutions for Kirchhoff type problems in bounded domains
- Positive solutions of Kirchhoff type problem with singular and critical nonlinearities in dimension four
- Existence and concentration result for the Kirchhoff type equations with general nonlinearities
- Multiple positive solutions for Kirchhoff type of problems with singularity and critical exponents
- Multiplicity and concentration of positive solutions for a Kirchhoff type problem with critical growth
- Existence of nontrivial solutions and high energy solutions for Schrödinger-Kirchhoff-type equations in \(\mathbb R^N\)
- Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
- Existence and asymptotic behavior of nodal solutions for the Kirchhoff-type problems in \(\mathbb{R}^3\)
- Global solvability for the degenerate Kirchhoff equation with real analytic data
- On semilinear elliptic equations with indefinite nonlinearities
- The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
- Multiple solutions for the nonhomogeneous Kirchhoff equation on \(\mathbb R^N\)
- Multiple positive solutions for Kirchhoff type problems with singularity
- Existence of nontrivial solutions for a class of Kirchhoff equation with indefinite and 3-linear nonlinearity
- Ground state solutions of Nehari-Pohozaev type for Kirchhoff-type problems with general potentials
- Multiple positive solutions to a class of Kirchhoff equation on \(\mathbb R^3\) with indefinite nonlinearity
- Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^3\)
- On a Class of Schrödinger-Type Equations with Indefinite Weight Functions
- On existence of positive solutions for a class of Caffarelli–Kohn–Nirenberg type equations
- On the Well-Posedness of the Kirchhoff String
- On positive ground state solutions for the nonlinear Kirchhoff type equations in ℝ3
- Existence of a nodal solution with minimal energy for a Kirchhoff equation
- Berestycki-Lions conditions on ground state solutions for Kirchhoff-type problems with variable potentials
- Existence of positive solutions for a class of indefinite elliptic problems in \(\mathbb{R}^N\)
