Existence and Hölder regularity of infinitely many solutions to a \(p\)-Kirchhoff-type problem involving a singular nonlinearity without the Ambrosetti-Rabinowitz (AR) condition
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Publication:2026465
DOI10.1007/s00033-020-01464-9zbMath1466.35186arXiv2006.00953OpenAlexW3124752378MaRDI QIDQ2026465
Publication date: 19 May 2021
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.00953
Boundary values of solutions to elliptic equations and elliptic systems (35J67) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)
Related Items (6)
Elliptic problem driven by different types of nonlinearities ⋮ A critical elliptic problem involving exponential and singular nonlinearities ⋮ Existence and multiplicity of solutions involving the \(p(x)\)-Laplacian equations: on the effect of two nonlocal terms ⋮ Existence of multiple solutions to Schrödinger-Poisson system in a nonlocal set up in \(\mathbb{R}^3\) ⋮ Critical \(p(x)\)-Kirchhoff problems involving variable singular exponent ⋮ Mixed order elliptic problems driven by a singularity, a Choquard type term and a discontinuous power nonlinearity with critical variable exponents
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Critical stationary Kirchhoff equations in \(\mathbb R^N\) involving nonlocal operators
- Existence theorems for entire solutions of stationary Kirchhoff fractional \(p\)-Laplacian equations
- Lewy-Stampacchia type estimates for variational inequalities driven by (non)local operators
- On some critical problems for the fractional Laplacian operator
- Existence of solutions for Kirchhoff type problem involving the non-local fractional \(p\)-Laplacian
- \(p\)-fractional Kirchhoff equations involving critical nonlinearities
- Fractional \(p\)-Kirchhoff system with sign changing nonlinearities
- Global Hölder regularity for the fractional \(p\)-Laplacian
- Multiplicity of solutions for \(p(x)\)-polyharmonic elliptic Kirchhoff equations
- Sequences of weak solutions for fractional equations
- Mountain pass solutions for non-local elliptic operators
- \(W^{1,p}_0\) versus \(C^1\) local minimizers for a singular and critical functional
- Regularity and stability for the mathematical programming problem in Banach spaces
- A critical fractional elliptic equation with singular nonlinearities
- Existence and multiplicity of solutions for critical Kirchhoff-type \(p\)-Laplacian problems
- Existence of solutions for a critical fractional Kirchhoff type problem in \(\mathbb{R}^N\)
- The Nehari manifold for a fractional $p$-Kirchhoff system involving sign-changing weight function and concave-convex nonlinearities
- Existence of multiple solutions to an elliptic problem with measure data
- Two nontrivial solutions for hemivariational inequalities driven by nonlocal elliptic operators
- Variational methods for non-local operators of elliptic type
- Existence of solutions for a bi-nonlocal fractional \(p\)-Kirchhoff type problem
- A variational inequality of Kirchhoff-type in \(\mathbb{R}^N\)
- Superlinear Kirchhoff-type problems of the fractional \(p\)-Laplacian without the (AR) condition
- Fine boundary regularity for the degenerate fractional \(p\)-Laplacian
- Multiple positive solutions for a nonlocal PDE with critical Sobolev-Hardy and singular nonlinearities via perturbation method
- Dual variational methods in critical point theory and applications
- \(1/2\)-Laplacian problems with exponential nonlinearity
- Fractional equations with bounded primitive
- Infinitely many solutions for a fractional Kirchhoff type problem via fountain theorem
- \(H^s\) versus \(C^0\)-weighted minimizers
- Degenerate Kirchhoff-type diffusion problems involving the fractional \(p\)-Laplacian
- Nontrivial solutions of some fractional problems
- On Dirichlet problem for fractional \(p\)-Laplacian with singular non-linearity
- Infinitely many solutions for a superlinear fractional \(p\)-Kirchhoff-type problem without the (AR) condition
- Positive solutions for a quasilinear elliptic equation of Kirchhoff type
- A critical Kirchhoff type problem involving a nonlocal operator
- Infinitely many solutions for the stationary Kirchhoff problems involving the fractionalp-Laplacian
- Superlinear nonlocal fractional problems with infinitely many solutions
- Nonlocal Kirchhoff diffusion problems: local existence and blow-up of solutions
- Degenerate Kirchhoff problems involving the fractionalp-Laplacian without the (AR) condition
- On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN
- The Nehari manifold for a singular elliptic equation involving the fractional Laplace operator
- Combined effects for fractional Schrödinger–Kirchhoff systems with critical nonlinearities
- Ground state solutions of p-Laplacian singular Kirchhoff problem involving a Riemann-Liouville fractional derivative
- Multiplicity and Hölder regularity of solutions for a nonlocal elliptic PDE involving singularity
- Lagrange Multiplier Rule to a Nonlinear Eigenvalue Problem in Musielak–Orlicz Spaces
- On vs. local minimizers for a critical functional related to fractionalp-Laplacian
- On the non-linear vibration problem of the elastic string
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