On critical \(p\)-Laplacian systems
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Publication:2409847
DOI10.1515/ANS-2017-6029zbMath1372.35034arXiv1508.06006OpenAlexW2963143242MaRDI QIDQ2409847
Zhenyu Guo, Perera, Kanishka, Wen Ming Zou
Publication date: 16 October 2017
Published in: Advanced Nonlinear Studies (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.06006
Critical exponents in context of PDEs (35B33) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)
Related Items (4)
Solutions for nonhomogeneous fractional \((p, q)\)-Laplacian systems with critical nonlinearities ⋮ A system of equations involving the fractional \(p\)-Laplacian and doubly critical nonlinearities ⋮ On critical fractional systems with Hardy-Littlewood-Sobolev nonlinearities ⋮ Multiple solutions for coupled gradient-type quasilinear elliptic systems with supercritical growth
Cites Work
- Unnamed Item
- An existence result for a class of quasilinear elliptic eigenvalue problems in unbounded domains
- Radial symmetry and applications for a problem involving the \(-\Delta_p(\cdot)\) operator and critical nonlinearity in \(\mathbb{R}^N\)
- Principal eigenvalue for quasilinear cooperative elliptic systems.
- Positive least energy solutions and phase separation for coupled Schrödinger equations with critical exponent: higher dimensional case
- On elliptic systems with Sobolev critical growth
- Multiple positive solutions for a critical quasilinear elliptic system
- A priori estimates and application to the symmetry of solutions for critical \(p\)-Laplace equations
- Local and global behaviour of solutions of quasilinear equations of Emden-Fowler type
- Multiple positive solutions for a critical quasilinear elliptic system with concave-convex nonlinearities
- Linking solutions for \(p\)-Laplace equations with nonlinearity at critical growth
- Symmetry and monotonicity of least energy solutions
- Local and global properties of solutions of quasilinear elliptic equations
- Existence of entire explosive positive radial solutions for a class of quasilinear elliptic systems.
- Existence of positive solutions for a nonvariational quasilinear elliptic system
- A priori estimates and continuation methods for positive solutions of \(p\)-Laplace equations.
- Some remarks on a system of quasilinear elliptic equations
- Existence of multiple solutions for quasilinear systems via fibering method
- \(p\)-Laplace equations with singular weights
- On positive weak solutions for a class of quasilinear elliptic systems
- Classification of positive \(\mathcal{D}^{1, p}(\mathbb{R}^N)\)-solutions to the critical \(p\)-Laplace equation in \(\mathbb{R}^N\)
- Global Regularity of Weak Solutions to Quasilinear Elliptic and Parabolic Equations with Controlled Growth
- Nonexistence of Positive Supersolutions of Elliptic Equations via the Maximum Principle
- Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
- Regularity and Morse Index of the Solutions to Critical Quasilinear Elliptic Systems
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