Existence and multiplicity results for Dirichlet boundary value problems involving the - Laplace operator

DOI10.1285/i15900932v37n1p69zbMath1393.35060OpenAlexW2769103252MaRDI QIDQ4639089

Mostafa Allaoui, Omar Darhouche

Publication date: 2 May 2018

Full work available at URL: http://siba-ese.unisalento.it/index.php/notemat/article/view/18362

zbMATH Keywords

Dirichlet problem\((p_1(x),p_2(x))\)-Laplace operator

Mathematics Subject Classification ID

Quasilinear elliptic equations with (p)-Laplacian (35J92) Boundary value problems for higher-order elliptic systems (35J58)

Related Items

The Dirichlet problem for nonlinear elliptic equations with variable exponent

Cites Work

• Solitons in several space dimensions: Derrick's problem and infinitely many solutions
• On the stationary solutions of generalized reaction diffusion equations with \(p\)\& \(q\)-Laplacian
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• Minimax theorems
• \(p(x)\)-Laplacian equations satisfying Cerami condition
• Continuous spectrum for a class of nonhomogeneous differential operators
• Multiplicity of solutions for a class of anisotropic elliptic equations with variable exponent
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• Density of smooth functions in W ^{k, p(x)} ( Ω )
• Sobolev embeddings with variable exponent
• Gradient estimates for thep(x)-Laplacean system
• Variable Exponent, Linear Growth Functionals in Image Restoration
• Variant fountain theorems and their applications
• Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item