Sign-changing semi-classical solutions of the Brezís-Nirenberg problems with jump nonlinearities in high dimensions

DOI10.1016/j.jmaa.2018.01.006zbMath1392.35160OpenAlexW2783126318MaRDI QIDQ1706338

Yuanze Wu

Publication date: 22 March 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.01.006

zbMATH Keywords

critical Sobolev exponentsemilinear equation with Laplacianleast energy sign-changing solution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Critical exponents in context of PDEs (35B33) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

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Cites Work

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• Positive least energy solutions and phase separation for coupled Schrödinger equations with critical exponent: higher dimensional case
• Sign-charging solutions for \(p\)-Laplacian equations with jumping nonlinearity and the Fučik spectrum
• Sign-changing and constant-sign solutions for \(p\)-Laplacian problems with jumping nonlinearities
• Existence and multiplicity of solutions for elliptic equations with jumping nonlinearities
• Multiple solutions for a class of elliptic equations with jumping nonlinearities
• Sign-changing solutions and multiplicity results for elliptic problems via lower and upper solutions
• On the location of spikes of solutions with two sharp layers for a singularly perturbed semilinear Dirichlet problem
• Spikes of the two-component elliptic system in \(\mathbb {R}^4\) with the critical Sobolev exponent
• Singularly perturbed nonlinear Dirichlet problems involving critical growth
• Spikes in two coupled nonlinear Schrödinger equations
• Three nodal solutions of singularly perturbed elliptic equations on domains without topology
• Mountain pass solutions for singularly perturbed nonlinear Dirichlet problems
• Elliptic equations with jumping nonlinearities involving high eigenvalues
• Multiple positive solutions for a class of concave–convex elliptic problems in ℝ^Ninvolving sign-changing weight, II
• Least energy nodal solution of a singular perturbed problem with jumping nonlinearity
• A BERESTYCKI–LIONS THEOREM REVISITED
• Singularly perturbed nonlinear Dirichlet problems with a general nonlinearity
• On the Number of Nodal Domains for Eigenfunctions of Elliptic Differential Operators
• On the shape of least‐energy solutions to a semilinear Neumann problem
• On the effect of domain geometry on the existence of nodal solutions in singular perturbations problems
• Spike-layered solutions of singularly perturbed elliptic problems in a degenerate setting
• On the location and profile of spike‐layer solutions to singularly perturbed semilinear dirichlet problems
• Variational properties of the first curve of the Fučík spectrum for elliptic operators

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