Nontrivial solutions of superlinear \(p\)-Laplacian equations
From MaRDI portal
Publication:2518281
DOI10.1016/j.jmaa.2008.09.064zbMath1161.35016OpenAlexW2163876197MaRDI QIDQ2518281
Publication date: 15 January 2009
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.09.064
Nonlinear elliptic equations (35J60) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Variational methods for higher-order elliptic equations (35J35)
Related Items
Positive solutions of singular elliptic systems with multiple parameters and Caffarelli-Kohn-Nirenberg exponents ⋮ Nontrivial solutions of superlinear nonlocal problems ⋮ On \(p\)-superlinear equations with a nonhomogeneous differential operator ⋮ Quasilinear problems without the Ambrosetti-Rabinowitz condition ⋮ Nontrivial solutions for Kirchhoff type equations via Morse theory ⋮ Existence of solutions for fractional \(p\)-Kirchhoff type equations with a generalized Choquard nonlinearity ⋮ Nontrivial solutions of some fractional problems ⋮ On the existence and non-existence of positive solutions for a class of singular infinite semipositone problems ⋮ Existence results for Kirchhoff–type superlinear problems involving the fractional Laplacian ⋮ Weighted Elliptic Equations in Dimension N with Subcritical and Critical Double Exponential Nonlinearities ⋮ Existence and multiplicity of solutions for fractional \(p(x)\)-Kirchhoff-type problems ⋮ A population biological model with a singular nonlinearity. ⋮ Existence of weak solutions for non-local fractional problems via Morse theory ⋮ On a nonlocal problem involving the fractional \(p(x,.)\)-Laplacian satisfying Cerami condition ⋮ Nontrivial solutions for impulsive fractional differential equations via Morse theory ⋮ Multiple solutions of a superlinearp-Laplacian equation without AR-condition ⋮ Semilinear elliptic equation involving thep-Laplacian on the Sierpiński gasket ⋮ Existence of infinitely many solutions for \(p\)-Laplacian equations in \(\mathbb{R}^N\) ⋮ On superlinear problems without the Ambrosetti and Rabinowitz condition ⋮ An ecological model with the p-Laplacian and diffusion ⋮ Unnamed Item ⋮ Morse theory and local linking for a nonlinear degenerate problem arising in the theory of electrorheological fluids ⋮ Solutions for nonlinear elliptic equations with general weight in the Sobolev-Hardy space ⋮ Superlinear Robin problems with indefinite linear part ⋮ Existence results for a class of Kirchhoff-type systems with combined nonlinear effects ⋮ On ground states of superlinear \(p\)-Laplacian equations in R\(^N\) ⋮ Existence of positive solutions for a class of quasilinear singular elliptic systems involving Caffarelli-Kohn-Nirenberg exponent with sign-changing weight functions ⋮ Kirchhoff-type problems involving the fractional \(p\)-Laplacian on the Heisenberg group ⋮ GROUND STATE SOLUTIONS FOR -SUPERLINEAR -LAPLACIAN EQUATIONS
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a superlinear elliptic equation
- Solutions of superlinear at zero elliptic equations via Morse theory
- Critical point theory and Hamiltonian systems
- Existence and multiplicity results for Dirichlet problems with \(p\)-Laplacian.
- Nontrivial critical groups in \(p\)-Laplacian problems via the Yang index
- Infinite dimensional Morse theory and multiple solution problems
- Resonance problems for the \(p\)-Laplacian
- Dual variational methods in critical point theory and applications
- On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN
- EXISTENCE OF SOLUTIONS FOR ASYMPTOTICALLY ‘LINEAR’ ${p}$-LAPLACIAN EQUATIONS
- Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
- SOLUTIONS OF p-SUBLINEAR p-LAPLACIAN EQUATION VIA MORSE THEORY
- Variant fountain theorems and their applications
- Nonlinear boundary value problems with concave nonlinearities near the origin
- Variational and topological methods for Dirichlet problems with \(p\)-Laplacian
