Existence of solutions to elliptic problems with fractional p-Laplacian and multiple critical nonlinearities in the entire space \(\mathbb{R}^N\)
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Publication:2208220
DOI10.1016/j.na.2020.112102zbMath1454.35175OpenAlexW3083452103MaRDI QIDQ2208220
Publication date: 23 October 2020
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2020.112102
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62) Fractional partial differential equations (35R11)
Related Items (3)
A system of equations involving the fractional \(p\)-Laplacian and doubly critical nonlinearities ⋮ Asymptotic behaviors of solutions to quasilinear elliptic equation with Hardy potential and critical Sobolev exponent ⋮ An existence result for a fractional elliptic system involving (p,q)-Laplacian and critical exponent
Cites Work
- Unnamed Item
- Optimal decay of extremals for the fractional Sobolev inequality
- Critical nonlocal systems with concave-convex powers
- The Brezis-Nirenberg problem for the fractional \(p\)-Laplacian
- \(p\)-fractional Kirchhoff equations involving critical nonlinearities
- Bessel pairs and optimal Hardy and Hardy-Rellich inequalities
- Symmetry and regularity of extremals of an integral equation related to the Hardy-Sobolev inequality
- Asymptotic estimates and blow-up theory for critical equations involving the \(p\)-Laplacian
- The concentration-compactness principle in the calculus of variations. The limit case. I
- Nonlinear ground state representations and sharp Hardy inequalities
- On a \(p\)-Laplace equation with multiple critical nonlinearities
- Best constant in Sobolev inequality
- Spectral theory of the operator \((p^2+m^2)^{1/2}-Ze^2/r\)
- The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis-Nirenberg problem
- Nonlocal problems with critical Hardy nonlinearity
- Best constants for Sobolev inequalities for higher order fractional derivatives
- On the stability or instability of the singular solution of the semilinear heat equation with exponential reaction term
- Extremal functions for Hardy's inequality with weight
- On some nonlinear equations involving the \(p\)-Laplacian with critical Sobolev growth
- Superlinear Schrödinger-Kirchhoff type problems involving the fractional \(p\)-Laplacian and critical exponent
- Geometric Hardy's inequalities with general distance functions
- Dual variational methods in critical point theory and applications
- Factorizations and Hardy's type identities and inequalities on upper half spaces
- Fractional Sobolev-Hardy inequality in \(\mathbb{R}^N\)
- Kirchhoff-Hardy fractional problems with lack of compactness
- On the quasilinear elliptic problems with critical Sobolev-Hardy exponents and Hardy terms
- Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
- Existence of solutions for Choquard type elliptic problems with doubly critical nonlinearities
- Semilinear Elliptic Equation with Biharmonic Operator and Multiple Critical Nonlinearities
- Systems ofp-laplacean equations involving homogeneous nonlinearities with critical sobolev exponent degrees
- Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
- Paneitz operators on hyperbolic spaces and high order Hardy-Sobolev-Maz'ya inequalities on half spaces
- Asymptotics for optimizers of the fractional Hardy–Sobolev inequality
- An Extension Problem Related to the Fractional Laplacian
- Borderline Variational Problems Involving Fractional Laplacians and Critical Singularities
- Sobolev Spaces
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