Existence theorem for some pairs of coupled elliptic equations

DOI10.1134/S1064562408010201zbMath1180.35224OpenAlexW1996587008MaRDI QIDQ960664

Vasilii V. Jikov

Publication date: 5 January 2009

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562408010201

zbMATH Keywords

existence of solutionssystem of elliptic equationsLavrentiev phenomenon\(p\)-Laplacian with a variable exponent

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Second-order elliptic systems (35J47) Quasilinear elliptic equations with (p)-Laplacian (35J92) Boundary value problems for second-order elliptic systems (35J57)

Related Items (11)

Nonhomogeneous Dirichlet problems without the Ambrosetti-Rabinowitz condition ⋮ On the technique for passing to the limit in nonlinear elliptic equations ⋮ Existence and blow-up rate of large solutions of \(p(x)\)-Laplacian equations with gradient terms ⋮ Existence and multiple solutions for a variable exponent system ⋮ Constant sign solutions for variable exponent system Neumann boundary value problems with singular coefficient ⋮ Existence of strong solutions of a \(p(x)\)-Laplacian Dirichlet problem without the Ambrosetti-Rabinowitz condition ⋮ On the boundary blow-up solutions of \(p(x)\)-Laplacian equations with singular coefficient ⋮ Existence of solutions for weighted \(p(r)\)-Laplacian impulsive system periodic-like boundary value problems ⋮ Existence of solutions and nonnegative solutions for weighted \(p(r)\)-Laplacian impulsive system multi-point boundary value problems ⋮ Solutions for a variable exponent Neumann boundary value problems with Hardy critical exponent ⋮ An Indirect Approach to the Existence of Quasi-optimal Controls in Coefficients for Multi-dimensional Thermistor Problem

Cites Work

• On stationary thermo-rheological viscous flows
• Nonlinear elliptic and parabolic equations involving measure data
• On a turbulent system with unbounded eddy viscosities
• Stationary solutions to the thermistor problem
• STATIONARY SOLUTIONS TO A QUASI-NEWTONIAN FLOW WITH VISCOUS HEATING
• Regularity results for a class of functionals with non-standard growth

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