Solvability of linear and semilinear eigenvalue problems with \(L^ 1\) data

zbMath0822.35106MaRDI QIDQ1315176

Luigi Orsina

Publication date: 7 March 1994

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1993__90__207_0

zbMATH Keywords

existencelinear elliptic operatorAmbrosetti-Prodi problems

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) General theory of partial differential operators (47F05) Second-order elliptic equations (35J15)

Related Items

Some remarks on elliptic problems with critical growth in the gradient, Best constants in a borderline case of second-order Moser type inequalities, Elliptic problems with a Hardy potential and critical growth in the gradient: non-resonance and blow-up results, Existence and regularity results for some elliptic equations with degenerate coercivity and singular quadratic lower-order terms, A jumping problem for quasilinear elliptic equations with right-hand side measure, Existence and regularity results for relaxed Dirichlet problems with measure data, Multiplicity Results for a Class of Asymptotically Linear Elliptic Problems With Resonance and Applications to Problems With Measure Data, An Eigenvalue Dirichlet Problem with Weight and L ¹ Data, Existence results for semilinear elliptic equations with small measure data

Cites Work

• Le nombre de solutions de certains problèmes semi-linéaires elliptiques
• On the inversion of some differentiable mappings with singularities between Banach spaces
• Résultats d'existence et de non-existence pour certains problèmes demi-linéaires à l'infini
• Nonlinear Elliptic Equations with Right Hand Side Measures
• Nonlinear Integral Equations of the Hammerstein Type
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