The Nehari manifold for a semilinear elliptic system involving sign-changing weight functions

DOI10.1016/j.na.2007.01.004zbMath1151.35342OpenAlexW2021530903MaRDI QIDQ2474845

Tsung-fang Wu

Publication date: 6 March 2008

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.2007.01.004

zbMATH Keywords

semilinear elliptic systemsNehari manifoldsign-changing weight functionsconcave-convex nonlinearities

Mathematics Subject Classification ID

Related Items (60)

Critical growth fractional elliptic systems with exponential nonlinearity ⋮ On the existence of solutions for nonhomogeneous Schrödinger-Poisson system ⋮ Positive solutions for nonlinear Choquard equation with singular nonlinearity ⋮ Multiplicity of solutions for a class of fractional \(p\)-Kirchhoff system with sign-changing weight functions ⋮ Multiple positive solutions for a quasilinear elliptic system with critical exponent and sign-changing weight ⋮ Existence of solutions for perturbed elliptic system with critical exponents ⋮ Existence of multiple solutions for a quasilinear elliptic system involving sign-changing weight functions and variable exponent ⋮ Multiple solutions for biharmonic critical Choquard equation involving sign-changing weight functions ⋮ The Nehari manifold for fractional systems involving critical nonlinearities ⋮ Critical nonlocal systems with concave-convex powers ⋮ Symmetric solutions for a class of singular biharmonic elliptic systems involving critical exponents ⋮ Ground and bound state solutions for quasilinear elliptic systems including singular nonlinearities and indefinite potentials ⋮ Multiplicity of positive solutions for semilinear elliptic systems ⋮ Three solutions for a class of quasilinear elliptic systems involving the \(p(x)\)-Laplace operator ⋮ Multiplicity of positive solutions to weighted nonlinear elliptic system involving critical exponents ⋮ Multiple positive solutions for semilinear elliptic systems involving subcritical nonlinearities in \(\mathbb R^ N\) ⋮ The Nehari manifold for indefinite semilinear elliptic systems involving critical exponent ⋮ Existence of non-negative solutions for a system with concave-convex nonlinearity ⋮ A finding of the maximal saddle-node bifurcation for systems of differential equations ⋮ Extremal regions and multiplicity of positive solutions for singular superlinear elliptic systems with indefinite-sign potential ⋮ Multiple positive solutions for semilinear elliptic systems ⋮ Existence of the solution for a double phase system with convex nonlinearities ⋮ Multiplicity of positive solutions for a semilinear elliptic system with strongly coupled critical terms and concave nonlinearities ⋮ Multiple positive solutions for a quasilinear elliptic system involving concave-convex nonlinearities and sign-changing weight functions ⋮ Existence of nontrivial solutions for a poly-Laplacian system involving concave-convex nonlinearities on locally finite graphs ⋮ The Nehari manifold for a fractional \(p\)-Laplacian system involving concave-convex nonlinearities ⋮ Multiple solutions for a class of biharmonic elliptic systems with Sobolev critical exponent ⋮ Multiple positive solutions for a fractional Laplacian system with critical nonlinearities ⋮ The Solvability of Concave-Convex Quasilinear Elliptic Systems Involving $p$-Laplacian and Critical Sobolev Exponent ⋮ Existence of multiple positive solutions to singular elliptic systems involving critical exponents ⋮ Multiple positive solutions for a critical quasilinear elliptic system with concave-convex nonlinearities ⋮ The Nehari manifold and application to a semilinear elliptic system ⋮ The Nehari manifold approach for a class of \({n\times n}\) nonlinear elliptic systems ⋮ Multiple symmetric results for quasilinear elliptic systems involving singular potentials and critical Sobolev exponents in \(\mathbb{R}^N\) ⋮ The effects of concave and convex nonlinearities in some noncooperative elliptic systems ⋮ Existence and multiplicity of solutions for a class of quasilinear elliptic systems in Orlicz-Sobolev spaces ⋮ The Nehari manifold for a fractional $p$-Kirchhoff system involving sign-changing weight function and concave-convex nonlinearities ⋮ Fractional \(p\)-Kirchhoff system with sign changing nonlinearities ⋮ Multiple solutions of a quasilinear elliptic system involving the nonlinear boundary conditions on exterior domain ⋮ Existence of multiple solutions for fractional \(p\)-Kirchhoff equations with concave-convex nonlinearities ⋮ Multiplicity result for a critical elliptic system with concave-convex nonlinearities ⋮ Existence of nontrivial solutions for a critical perturbed quasilinear elliptic system ⋮ Multiplicity of positive solutions for Kirchhoff systems ⋮ Multiple positive solutions for semi-linear elliptic systems with sign-changing weight ⋮ An existence result for a class of \(p\)-Laplacian elliptic systems involving homogeneous nonlinearities in \(\mathbb R^N\) ⋮ The Nehari manifold for a class of concave-convex elliptic systems involving the \(p\)-Laplacian and nonlinear boundary condition ⋮ A system of p-Laplacian equations on the Sierpiński gasket ⋮ Nehari manifold for fractional Kirchhoff systems with critical nonlinearity ⋮ Multiple positive solutions for a critical elliptic system with concave and convex nonlinearities ⋮ Multiple solutions for weighted nonlinear elliptic system involving critical exponents ⋮ Ground states of elliptic problems over cones ⋮ Existence of multiple positive solutions for a truncated Kirchhoff-type system involving weight functions and concave-convex nonlinearities ⋮ A remark on the existence of multiple solutions to a multiparameter nonlinear elliptic system ⋮ Unnamed Item ⋮ Existence of weak solutions for nonlinear time-fractional \(p\)-Laplace problems ⋮ Existence and multiplicity of solutions for fractional Laplacian system ⋮ MULTIPLE SOLUTIONS FOR A NONHOMOGENEOUS SCHRÖDINGER-POISSON SYSTEM WITH CONCAVE AND CONVEX NONLINEARITIES ⋮ Multiple positive solutions for semi‐linear elliptic systems involving sign‐changing weight ⋮ Multiple positive solutions for an elliptic problem involving a critical Sobolev exponent ⋮ Multiplicity of solutions for a singular system involving the fractional \(p\)-\(q\)-Laplacian operator and sign-changing weight functions

Cites Work

• Multiplicity results for a semi-linear elliptic equation involving sign-changing weight function
• On nonhomogeneous elliptic equations involving critical Sobolev exponent
• Combined effects of concave and convex nonlinearities in some elliptic problems
• On systems of elliptic equations involving subcritical or critical Sobolev exponents
• Existence results to elliptic systems with nonstandard growth conditions
• Multiple solutions with changing sign energy to a nonlinear elliptic equation
• Existence results for some nonlinear elliptic system with lack of compactness
• Existence of multiple solutions for quasilinear systems via fibering method
• Local superlinearity and sublinearity for indefinite semilinear elliptic problems.
• Multiplicity results for some nonlinear elliptic equations
• Minimax theorems
• An eigenvalue problem for elliptic systems
• On semilinear elliptic equations involving concave--convex nonlinearities and sign-changing weight function
• The Nehari manifold for systems of nonlinear elliptic equations
• On a Class of Nonlinear Second-Order Differential Equations
• Positive splutions of semilinear elliptic systems
• On Superquadratic Elliptic Systems
• Positive radial solutions of nonlinear elliptic systems

This page was built for publication: The Nehari manifold for a semilinear elliptic system involving sign-changing weight functions