A positive solution for some critical \(p\)-Laplacian systems

DOI10.1007/s10114-015-4130-yzbMath1314.35044OpenAlexW2141502429MaRDI QIDQ2018882

Xiaozhi Wang

Publication date: 25 March 2015

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

Full work available at URL: https://doi.org/10.1007/s10114-015-4130-y

zbMATH Keywords

variational methodscritical growth\(p\)-Laplace system

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Variational methods for elliptic systems (35J50) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09) Higher-order elliptic systems (35J48)

Related Items (1)

Multiple solutions with constant sign for a \((p,q)\)-elliptic system Dirichlet problem with product nonlinear term

Cites Work

• Ground states for a system of Schrödinger equations with critical exponent
• Elliptic equations and systems with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition
• Elliptic equations and systems with critical Trudinger-Moser nonlinearities
• Existence and multiplicity of solutions to equations of \(N\)-Laplacian type with critical exponential growth in \(\mathbb R^N\)
• Multiple critical points of perturbed symmetric strongly indefinite functionals
• Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
• On systems of elliptic equations involving subcritical or critical Sobolev exponents
• Some remarks on a system of quasilinear elliptic equations
• Existence of multiple solutions for quasilinear systems via fibering method
• Multiple positive solutions of strongly indefinite systems with critical Sobolev exponents and data that change sign
• Semilinear Dirichlet problems for the \(N\)-Laplacian in \(\mathbb{R}^ N\) with nonlinearities in the critical growth range
• Minimax theorems
• Quasilinear elliptic equations involving critical Sobolev exponents
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
• Strongly indefinite systems with critical Sobolev exponents
• On an inequality by N. Trudinger and J. Moser and related elliptic equations
• Critical and subcritical elliptic systems in dimension two
• N-Laplacian Equations in ℝ^N with Subcritical and Critical GrowthWithout the Ambrosetti-Rabinowitz Condition
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• Unnamed Item
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