Multiplicity results for biharmonic equations involving multiple Rellich-type potentials and critical exponents
type: Item
instance of: scholarly article
title: Multiplicity results for biharmonic equations involving multiple Rellich-type potentials and critical exponents
author: Jinguo Zhang
author: Tsing-San Hsu
published in: Boundary Value Problems
publication date: 2022-12-19T00:00:00Z
Mathematics Subject Classification ID: 35J40
Mathematics Subject Classification ID: 35B33
Mathematics Subject Classification ID: 35J35
Mathematics Subject Classification ID: 35J91
Mathematics Subject Classification ID: 47G20
zbMATH DE Number: 7634247
zbMATH Keywords: multiplicity
zbMATH Keywords: biharmonic equations
zbMATH Keywords: Rellich-type potential
zbMATH Keywords: critical Sobolev exponent
MaRDI profile type: Publication
full work available at URL: s13661-019-1216-y
OpenAlex ID: W2947569620
cites work: Positive solutions of a fourth-order semilinear problem involving critical growth
cites work: Dual variational methods in critical point theory and applications
cites work: Entire solutions for a class of variational problems involving the biharmonic operator and Rellich potentials
cites work: Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
cites work: The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
cites work: Radial and non radial ground states for a class of dilation invariant fourth order semilinear elliptic equations on \(\mathbb R^n\)
cites work: On Caffarelli-Kohn-Nirenberg-type inequalities for the weighted biharmonic operator in cones
cites work: On the Caffarelli-Kohn-Nirenberg inequalities: sharp constants, existence (and nonexistence), and symmetry of extremal functions.
cites work: On the Structure of Solutions $\Delta ^2 u = \lambda u$ Which Satisfy the Clamped Plate Conditions on a Right Angle
cites work: Nonlinear critical problems for the biharmonic operator with Hardy potential
cites work: Critical exponents, critical dimensions and the biharmonic operator
cites work: On the variational principle
cites work: Radial entire solutions for supercritical biharmonic equations
cites work: Multiplicity results for \(p\)-Laplacian with critical nonlinearity of concave-convex type and sign-changing weight functions
cites work: Multiple positive solutions for semilinear elliptic equations involving multi-singular inverse square potentials and concave-convex nonlinearities
cites work: On the quasilinear elliptic problems with critical Sobolev-Hardy exponents and Hardy terms
cites work: Ground state solutions to biharmonic equations involving critical nonlinearities and multiple singular potentials
cites work: Asymptotic behavior and existence results for the biharmonic problems involving Rellich potentials
cites work: The concentration-compactness principle in the calculus of variations. The limit case. I
cites work: The concentration-compactness principle in the calculus of variations. The limit case. II
cites work: Q5571936
Wikidata QID: Q127765446
DOI: 10.1186/S13661-019-1216-Y
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description: scientific article; zbMATH DE number 7634247