Existence of positive solutions to nonlinear elliptic equations involving critical Sobolev exponents

DOI10.1007/BF02582916zbMath0795.35037OpenAlexW2313472040MaRDI QIDQ4025317

Xu-Jia Wang

Publication date: 18 February 1993

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02582916

zbMATH Keywords

critical Sobolev exponentspositive solutionsnonradial solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items

Critical elliptic equations via a dynamical systems approach ⋮ Existence of solutions for a coupled Schrödinger equations with critical exponent ⋮ A Note on Radial Solutions to the Critical Lane-Emden Equation with a Variable Coefficient

Cites Work

• Unnamed Item
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• Symmetry and related properties via the maximum principle
• Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems
• Best constant in Sobolev inequality
• Dual variational methods in critical point theory and applications
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Uniqueness and nonuniqueness for positive radial solutions of Δu + f(u, r) = 0
• Elliptic Partial Differential Equations of Second Order
• On the Existence of Positive Solutions of Semilinear Elliptic Equations