Multiple solutions for biharmonic critical Choquard equation involving sign-changing weight functions

DOI10.12775/TMNA.2021.025zbMath1490.35129OpenAlexW4220861065MaRDI QIDQ2135290

Sarika Goyal, Anu Rani

Publication date: 6 May 2022

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.2021.025

zbMATH Keywords

existencecritical exponentNehari manifoldconcave-convex nonlinearitiesbiharmonic Choquard equation

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (2)

Multiple normalized solutions for biharmonic Choquard equation with Hardy-Littlewood-Sobolev upper critical and combined nonlinearities ⋮ Existence of solutions for nonlinear biharmonic Choquard equations on weighted lattice graphs

Cites Work

• Unnamed Item
• Unnamed Item
• Multiple solutions to a magnetic nonlinear Choquard equation
• A guide to the Choquard equation
• On nonlocal Choquard equations with Hardy-Littlewood-Sobolev critical exponents
• Nonlinear scalar field equations. I: Existence of a ground state
• Classification of positive solitary solutions of the nonlinear Choquard equation
• Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
• On solutions of second and fourth order elliptic equations with power-type nonlinearities
• An existence result for nonliner elliptic problems involving critical Sobolev exponent
• Semilinear elliptic equations involving critical Sobolev exponents
• On a class of nonlinear Schrödinger equations
• On nonhomogeneous elliptic equations involving critical Sobolev exponent
• Best constant in Sobolev inequality
• Combined effects of concave and convex nonlinearities in some elliptic problems
• The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
• Existence and nonexistence results for critical growth biharmonic elliptic equations
• The Brezis-Nirenberg type critical problem for the nonlinear Choquard equation
• On critical Choquard equation with potential well
• Fractional Choquard equation with critical nonlinearities
• Multiple nontrivial solutions for a class of biharmonic elliptic equations with Sobolev critical exponent
• The Nehari manifold for a semilinear elliptic equation involving a sublinear term
• On the variational principle
• Solutions to semilinear elliptic problems with combined nonlinearities
• Existence and multiplicity of nontrivial solutions in semilinear critical problems of fourth order
• Existence of solutions for a class of nonlinear Schrödinger equations with potential vanishing at infinity
• The Choquard equation with weighted terms and Sobolev-Hardy exponent
• Uniqueness and nondegeneracy of solutions for a critical nonlocal equation
• Scattering threshold for the focusing Choquard equation
• Existence of multiple semiclassical solutions for a critical Choquard equation with indefinite potential
• Existence of groundstates for a class of nonlinear Choquard equations in the plane
• The Nehari manifold for a semilinear elliptic system involving sign-changing weight functions
• Global solutions and finite time blow up for damped semilinear wave equations
• The Nehari manifold for a fractional critical Choquard equation involving sign-changing weight functions
• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
• Critical exponents, critical dimensions and the biharmonic operator
• Ground state solutions for non-autonomous fractional Choquard equations
• MULTIPLICITY OF SOLUTIONS FOR BIHARMONIC ELLIPTIC SYSTEMS INVOLVING CRITICAL NONLINEARITY
• Uniqueness of positive solutions of the Choquard type equations
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Ground states for nonlinear fractional Choquard equations with general nonlinearities
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Positive solutions for some semilinear elliptic equations with critical sobolev exponents
• The Choquard equation and related questions
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Thin Films with High Surface Tension
• Positive solutions for the p-Laplacian: application of the fibrering method
• A Dirichlet problem involving critical exponents
• On inhomogeneous biharmonic equations involving critical exponents
• Semiclassical states for Choquard type equations with critical growth: critical frequency case ^*
• Existence of solutions for critical Choquard equations via the concentration-compactness method
• On fractional Choquard equations
• Non-trivial solutions for a semilinear biharmonic problem with critical growth and potential vanishing at infinity
• Existence of groundstates for a class of nonlinear Choquard equations
• Functional Analysis

This page was built for publication: Multiple solutions for biharmonic critical Choquard equation involving sign-changing weight functions