On weak solutions for \(p\)-Laplacian equations with weights

DOI10.4171/RLM/493zbMath1223.35128MaRDI QIDQ931315

Patrizia Pucci, Raffaella Servadei

Publication date: 25 June 2008

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

zbMATH Keywords

weak solutionsquasilinear equations\(p\)-Laplacian operator

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Second-order elliptic equations (35J15)

Related Items (14)

On the solvability of some nonlinear elliptic problems ⋮ The dual approach to stationary and evolution quasilinear PDEs ⋮ Competition phenomena for elliptic equations involving a general operator in divergence form ⋮ On criteria of existence for nonlinear Katugampola fractional differential equations with p-Laplacian operator ⋮ Pohozaev-type inequalities and their applications for elliptic equations ⋮ Existence of solutions for critical (p,q)-Laplacian equations in ℝN ⋮ Combined effects in quasilinear elliptic problems with lack of compactness ⋮ Low- and high-energy solutions of nonlinear elliptic oscillatory problems ⋮ Combined effects in nonlinear problems arising in the study of anisotropic continuous media ⋮ Existence and multiplicity results for anisotropic stationary Schrödinger equations ⋮ Optimal \(W^{2,2}_{\text{loc}}\)-regularity, Pohozhaev's identity, and nonexistence of weak solutions to some quasilinear elliptic equations ⋮ Existence, non-existence and regularity of radial ground states for \(p\)-Laplacian equations with singular weights ⋮ Eigenvalue problems with unbalanced growth: nonlinear patterns and standing wave solutions ⋮ Elliptic Systems of $p$-Laplacian Type

Cites Work

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• Nonlinear scalar field equations. II: Existence of infinitely many solutions
• Nonlinear scalar field equations. I: Existence of a ground state
• Existence of radial solutions for the \(p\)-Laplacian elliptic equations with weights
• Positive solutions for a quasilinear degenerate elliptic equation in \(\mathbb R^ N\)
• Dual variational methods in critical point theory and applications
• An improved Hardy-Sobolev inequality and its application
• Existence of positive solutions of some semilinear elliptic equations with singular coefficients
• SINGULAR ELLIPTIC PROBLEMS WITH CRITICAL GROWTH

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