TWO SOLUTIONS OF THE BAHRI–CORON PROBLEM IN PUNCTURED DOMAINS VIA THE FIXED POINT TRANSFER

DOI10.1142/S0219199708002715zbMath1157.35048MaRDI QIDQ3528686

Mónica Clapp, Tobias Weth

Publication date: 17 October 2008

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

critical exponentmultiple solutionsnonlinear elliptic boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Critical exponents in context of PDEs (35B33) Variational methods for second-order elliptic equations (35J20)

Related Items (10)

Sign changing solutions to a nonlinear elliptic problem involving the critical Sobolev exponent in pierced domains ⋮ Multiple sign-changing solutions of nonlocal critical exponent problem in symmetric domains ⋮ Infinitely many non-radial solutions to a critical equation on annulus ⋮ Existence of two solutions for the Bahri-Coron problem in an annular domain with a thin hole ⋮ Multiple solutions to the pure critical exponent problem in domains with a hole of arbitrary size ⋮ Sign Changing Tower of Bubbles for an Elliptic Problem at the Critical Exponent in Pierced Non-Symmetric Domains ⋮ Multipeak solutions to the Bahri-Coron problem in domains with a shrinking hole ⋮ Multiple solutions to the Bahri-Coron problem in some domains with nontrivial topology ⋮ Multiple solutions to the Bahri–Coron problem in domains with a shrinking hole of positive dimension ⋮ Sign-changing blowing-up solutions for supercritical Bahri-Coron's problem

Cites Work

• Unnamed Item
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• A global compactness result for elliptic boundary value problems involving limiting nonlinearities
• The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems
• Energy bounds for entire nodal solutions of autonomous superlinear equations
• Sign changing solutions to a nonlinear elliptic problem involving the critical Sobolev exponent in pierced domains
• Configuration spaces, transfer, and 2-nodal solutions of a semiclassical nonlinear Schrödinger equation
• Multiplicity of positive solutions of nonlinear elliptic equations with critical Sobolev exponent in some contractible domains
• The fixed point transfer of fiber-preserving maps
• Ordinary differential equations in Banach spaces
• The effect of the domain shape on the existence of positive solutions of the equation \(\Delta u + u^{2^*-1}= 0\)
• Multiple Solutions of Nonlinear Scalar Field Equations
• A Note on an Equation with Critical Exponent
• On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain

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